Details

Time bar (total: 16.8s)

sample174.0ms

Algorithm
intervals
Results
92.0ms620×body80valid

simplify1.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02329
14329
29629
329029
496929
done500129

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.3b

localize48.0ms

Local error

Found 4 expressions with local error:

0.5b
(- (* c z) (* i a))
4.2b
(* j (- (* c t) (* i y)))
4.3b
(* b (- (* c z) (* i a)))
5.5b
(* x (- (* y z) (* t a)))

rewrite145.0ms

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:
9.0ms
(- (* c z) (* i a))
34.0ms
(* j (- (* c t) (* i y)))
55.0ms
(* b (- (* c z) (* i a)))
44.0ms
(* x (- (* y z) (* t a)))

series339.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(- (* c z) (* i a))
89.0ms
(* j (- (* c t) (* i y)))
90.0ms
(* b (- (* c z) (* i a)))
106.0ms
(* x (- (* y z) (* t a)))

simplify925.0ms

Counts
96 → 96
Iterations

Useful iterations: done (922.0ms)

IterNodesCost
01671155
14611141
218701015
done50001007

prune879.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 2.8b

localize43.0ms

Local error

Found 4 expressions with local error:

3.5b
(* i (* j y))
4.3b
(* b (- (* c z) (* i a)))
4.9b
(* t (* j c))
5.5b
(* x (- (* y z) (* t a)))

rewrite158.0ms

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:
33.0ms
(* i (* j y))
45.0ms
(* b (- (* c z) (* i a)))
27.0ms
(* t (* j c))
50.0ms
(* x (- (* y z) (* t a)))

series267.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(* i (* j y))
94.0ms
(* b (- (* c z) (* i a)))
31.0ms
(* t (* j c))
111.0ms
(* x (- (* y z) (* t a)))

simplify962.0ms

Counts
96 → 96
Iterations

Useful iterations: done (959.0ms)

IterNodesCost
0171958
1458946
21773810
done5000806

prune586.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 2.2b

localize30.0ms

Local error

Found 4 expressions with local error:

4.3b
(* b (- (* c z) (* i a)))
4.5b
(* x (* y z))
4.9b
(* t (* j c))
5.7b
(* a (* x t))

rewrite108.0ms

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:
32.0ms
(* b (- (* c z) (* i a)))
18.0ms
(* x (* y z))
22.0ms
(* t (* j c))
32.0ms
(* a (* x t))

series207.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(* b (- (* c z) (* i a)))
42.0ms
(* x (* y z))
40.0ms
(* t (* j c))
38.0ms
(* a (* x t))

simplify923.0ms

Counts
90 → 90
Iterations

Useful iterations: 2 (247.0ms)

IterNodesCost
0154779
1401767
21482637
done5000637

prune625.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 1.2b

localize49.0ms

Local error

Found 4 expressions with local error:

4.3b
(* b (- (* c z) (* i a)))
4.5b
(* x (* y z))
4.9b
(* t (* j c))
5.5b
(* t (* x a))

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×*-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:
33.0ms
(* b (- (* c z) (* i a)))
18.0ms
(* x (* y z))
26.0ms
(* t (* j c))
45.0ms
(* t (* x a))

series207.0ms

Counts
4 → 12
Calls
4 calls:
118.0ms
(* b (- (* c z) (* i a)))
33.0ms
(* x (* y z))
28.0ms
(* t (* j c))
28.0ms
(* t (* x a))

simplify1.0s

Counts
90 → 90
Iterations

Useful iterations: done (1.0s)

IterNodesCost
0152779
1399767
21500639
done5000637

prune474.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 1.2b

regimes1.4s

Accuracy

35.2% (7.1b remaining)

Error of 9.3b against oracle of 2.2b and baseline of 13.1b

bsearch353.0ms

Steps
ItersRangePoint
8
7.526980984357919e+24
9.527118777412321e+27
2.0797617278881095e+25
7
-311268131.9871299
-1381618.6440889654
-8757011.533562748

simplify32.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
054107
199107
2126107
3127107
done127107

end0.0ms

sample5.7s

Algorithm
intervals
Results
3.6s19141×body80valid