Details

Time bar (total: 21.2s)

sample56.0ms

Algorithm
intervals
Results
30.0ms422×body80valid

simplify3.1s

Counts
1 → 1
Iterations
IterNodes
done5003
64882
51433
4655
3253
289
137
018

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.5b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x 9.0) y)
1.5b
(- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a))
2.5b
(/ (+ b (* (* x 9.0) y)) z)
12.0b
(/ (- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a)) c)

rewrite157.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×times-frac
13×add-cbrt-cube add-exp-log
pow1
associate-/r* associate-/l* add-log-exp
associate-/l/
associate-*r* pow-prod-down prod-exp cbrt-unprod
cbrt-undiv clear-num frac-2neg flip3-- div-exp div-inv flip--
sub-neg flip3-+ diff-log div-sub associate-*l* *-commutative flip-+
Counts
4 → 89
Calls
4 calls:
13.0ms
(* (* x 9.0) y)
43.0ms
(- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a))
26.0ms
(/ (+ b (* (* x 9.0) y)) z)
73.0ms
(/ (- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a)) c)

series537.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(* (* x 9.0) y)
210.0ms
(- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a))
88.0ms
(/ (+ b (* (* x 9.0) y)) z)
208.0ms
(/ (- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a)) c)

simplify1.5s

Counts
101 → 101
Iterations
IterNodes
done5001
21533
1458
0182

prune961.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 7.9b

localize41.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (/ (* x y) (* z c)))
3.5b
(/ b (* z c))
8.2b
(/ (* x y) (* z c))
8.2b
(/ (* a t) c)

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
44×add-cbrt-cube add-exp-log
15×prod-exp cbrt-unprod
12×add-sqr-sqrt cbrt-undiv div-exp
10×*-un-lft-identity add-cube-cbrt
times-frac
pow1
associate-/r* associate-*r* associate-/l*
div-inv add-log-exp
clear-num frac-2neg associate-*l*
pow-prod-down associate-*r/ *-commutative unswap-sqr
Counts
4 → 92
Calls
4 calls:
46.0ms
(* 9.0 (/ (* x y) (* z c)))
11.0ms
(/ b (* z c))
9.0ms
(/ (* x y) (* z c))
7.0ms
(/ (* a t) c)

series152.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(* 9.0 (/ (* x y) (* z c)))
26.0ms
(/ b (* z c))
31.0ms
(/ (* x y) (* z c))
30.0ms
(/ (* a t) c)

simplify1.4s

Counts
104 → 104
Iterations
IterNodes
done5063
21905
1425
0160

prune822.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 1.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (/ (* x y) (* z c)))
3.5b
(/ a (/ c t))
3.5b
(/ b (* z c))
8.2b
(/ (* x y) (* z c))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
80×times-frac
52×add-sqr-sqrt
50×*-un-lft-identity add-cube-cbrt
44×add-cbrt-cube add-exp-log
15×associate-/r*
14×prod-exp cbrt-unprod
13×cbrt-undiv div-exp
div-inv
associate-/l*
pow1
associate-*r*
add-log-exp
clear-num frac-2neg associate-*l*
pow-prod-down associate-*r/ associate-/r/ *-commutative unswap-sqr
Counts
4 → 141
Calls
4 calls:
33.0ms
(* 9.0 (/ (* x y) (* z c)))
9.0ms
(/ a (/ c t))
8.0ms
(/ b (* z c))
17.0ms
(/ (* x y) (* z c))

series141.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(* 9.0 (/ (* x y) (* z c)))
28.0ms
(/ a (/ c t))
23.0ms
(/ b (* z c))
32.0ms
(/ (* x y) (* z c))

simplify1.4s

Counts
153 → 153
Iterations
IterNodes
done5012
22433
1678
0260

prune1.6s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

3.5b
(/ a (/ c t))
3.5b
(/ b (* z c))
4.5b
(/ (* z c) y)
5.7b
(/ x (/ (* z c) y))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
66×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
28×add-cbrt-cube add-exp-log
24×associate-/r*
12×cbrt-undiv div-exp div-inv
10×associate-/l*
pow1 clear-num frac-2neg add-log-exp
prod-exp cbrt-unprod
associate-/r/
Counts
4 → 160
Calls
4 calls:
8.0ms
(/ a (/ c t))
6.0ms
(/ b (* z c))
7.0ms
(/ (* z c) y)
14.0ms
(/ x (/ (* z c) y))

series158.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(/ a (/ c t))
35.0ms
(/ b (* z c))
34.0ms
(/ (* z c) y)
49.0ms
(/ x (/ (* z c) y))

simplify1.5s

Counts
172 → 172
Iterations
IterNodes
done5010
22789
1746
0297

prune1.6s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0b

regimes2.4s

Accuracy

10.4% (9.2b remaining)

Error of 9.2b against oracle of 0.1b and baseline of 10.3b

bsearch655.0ms

Steps
ItersRangePoint
10
8.786092908554817e+207
5.474241145880629e+219
1.4108257451110568e+211
8
9.18227757834351e+174
2.501827447823438e+178
2.2495643092126964e+178
4
2.154965800092767e-38
3.4788598841801223e-38
2.7663987971617643e-38
8
-4.218053149726393e-45
-6.748460364464633e-49
-7.236482148170488e-46
7
-2.2522830021609222e+163
-8.116436040706082e+161
-5.8016748330930074e+162
5
-2.6752851722020718e+202
-8.838740205208376e+201
-1.4810024446968732e+202

simplify24.0ms

Iterations
IterNodes
done97
197
072

end0.0ms

sample2.7s

Algorithm
intervals
Results
1.9s12704×body80valid