Details

Time bar (total: 14.7s)

sample26.0ms

Algorithm
intervals
Results
12.0ms336×body80valid

simplify138.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010205
115205
225205
339205
458205
573205
687205
7102205
8108205
9110205
done110205

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.2b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ y z) (/ t (- 1.0 z)))
0.0b
(/ t (- 1.0 z))
4.0b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite257.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
45×*-un-lft-identity
31×times-frac
15×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
10×associate-*r*
7×add-cbrt-cube add-exp-log
5×pow1 associate-/r* add-log-exp
3×sub-neg flip3-- associate-*l* associate-*r/ flip-- associate-/l*
2×distribute-rgt-in distribute-lft-in associate-/r/ frac-sub
1×cbrt-undiv clear-num frac-2neg diff-log div-exp pow-prod-down prod-exp *-commutative cbrt-unprod div-inv unswap-sqr
Counts
3 → 89
Calls
3 calls:
67.0ms
(- (/ y z) (/ t (- 1.0 z)))
13.0ms
(/ t (- 1.0 z))
175.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series187.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(- (/ y z) (/ t (- 1.0 z)))
62.0ms
(/ t (- 1.0 z))
58.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify1.2s

Counts
98 → 98
Iterations

Useful iterations: done (1.2s)

IterNodesCost
017027602
142024340
2140224180
done500024020

prune539.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ y z) (/ 1 (/ (- 1.0 z) t)))
0.0b
(/ (- 1.0 z) t)
0.4b
(/ 1 (/ (- 1.0 z) t))
4.0b
(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

rewrite420.0ms

Algorithm
rewrite-expression-head
Rules
172×add-sqr-sqrt
170×times-frac
126×*-un-lft-identity
72×add-cube-cbrt
36×difference-of-squares
22×associate-/r* distribute-lft-out--
19×add-exp-log
16×associate-*r*
13×add-cbrt-cube
8×div-exp div-inv associate-/l*
7×pow1
6×add-log-exp
4×cbrt-undiv
3×sub-neg flip3-- associate-*l* associate-*r/ flip--
2×distribute-rgt-in rec-exp clear-num frac-2neg distribute-lft-in 1-exp frac-sub associate-/l/
1×diff-log div-sub pow-prod-down prod-exp associate-/r/ *-commutative cbrt-unprod pow-flip inv-pow unswap-sqr
Counts
4 → 202
Calls
4 calls:
68.0ms
(- (/ y z) (/ 1 (/ (- 1.0 z) t)))
19.0ms
(/ (- 1.0 z) t)
27.0ms
(/ 1 (/ (- 1.0 z) t))
294.0ms
(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

series227.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(- (/ y z) (/ 1 (/ (- 1.0 z) t)))
55.0ms
(/ (- 1.0 z) t)
47.0ms
(/ 1 (/ (- 1.0 z) t))
83.0ms
(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

simplify2.2s

Counts
214 → 214
Iterations

Useful iterations: done (2.2s)

IterNodesCost
030871947
185958968
2377658318
done500058238

prune1.2s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ y z) (/ 1 (* (- 1.0 z) (/ 1 t))))
0.1b
(* (- 1.0 z) (/ 1 t))
0.4b
(/ 1 (* (- 1.0 z) (/ 1 t)))
4.0b
(* x (- (/ y z) (/ 1 (* (- 1.0 z) (/ 1 t)))))

rewrite235.0ms

Algorithm
rewrite-expression-head
Rules
50×add-exp-log
37×add-sqr-sqrt
25×*-un-lft-identity
20×add-cbrt-cube associate-*r*
18×div-exp
17×prod-exp
16×times-frac add-cube-cbrt
11×pow1
9×rec-exp 1-exp
8×associate-*l*
6×flip3-- associate-/r/ flip-- add-log-exp
5×cbrt-undiv associate-*r/ cbrt-unprod distribute-lft-out-- difference-of-squares
4×frac-times associate-*l/ div-inv unswap-sqr
3×sub-neg pow-prod-down associate-/l*
2×distribute-rgt-in distribute-lft-in un-div-inv *-commutative frac-sub pow-flip
1×clear-num associate-/r* frac-2neg diff-log inv-pow
Counts
4 → 132
Calls
4 calls:
43.0ms
(- (/ y z) (/ 1 (* (- 1.0 z) (/ 1 t))))
24.0ms
(* (- 1.0 z) (/ 1 t))
41.0ms
(/ 1 (* (- 1.0 z) (/ 1 t)))
123.0ms
(* x (- (/ y z) (/ 1 (* (- 1.0 z) (/ 1 t)))))

series224.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(- (/ y z) (/ 1 (* (- 1.0 z) (/ 1 t))))
57.0ms
(* (- 1.0 z) (/ 1 t))
42.0ms
(/ 1 (* (- 1.0 z) (/ 1 t)))
76.0ms
(* x (- (/ y z) (/ 1 (* (- 1.0 z) (/ 1 t)))))

simplify2.7s

Counts
144 → 144
Iterations

Useful iterations: done (2.7s)

IterNodesCost
023242735
165331114
2366929895
done500029696

prune686.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ y z) (* (/ 1 (- 1.0 z)) t))
0.0b
(/ 1 (- 1.0 z))
0.2b
(* (/ 1 (- 1.0 z)) t)
4.0b
(* x (- (/ y z) (* (/ 1 (- 1.0 z)) t)))

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
41×*-un-lft-identity
32×times-frac
26×add-cube-cbrt
24×associate-*l*
19×add-exp-log
13×add-cbrt-cube
9×pow1
7×distribute-lft-out-- difference-of-squares
6×associate-*r* add-log-exp
5×associate-/r* prod-exp
4×flip3-- div-exp associate-/r/ flip-- unswap-sqr
3×sub-neg associate-*l/ associate-*r/ cbrt-unprod associate-/l*
2×distribute-rgt-in cbrt-undiv rec-exp distribute-lft-in 1-exp pow-prod-down *-commutative frac-sub div-inv
1×clear-num frac-2neg diff-log pow-flip inv-pow
Counts
4 → 122
Calls
4 calls:
24.0ms
(- (/ y z) (* (/ 1 (- 1.0 z)) t))
9.0ms
(/ 1 (- 1.0 z))
26.0ms
(* (/ 1 (- 1.0 z)) t)
50.0ms
(* x (- (/ y z) (* (/ 1 (- 1.0 z)) t)))

series171.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(- (/ y z) (* (/ 1 (- 1.0 z)) t))
33.0ms
(/ 1 (- 1.0 z))
34.0ms
(* (/ 1 (- 1.0 z)) t)
57.0ms
(* x (- (/ y z) (* (/ 1 (- 1.0 z)) t)))

simplify1.6s

Counts
134 → 134
Iterations

Useful iterations: done (1.6s)

IterNodesCost
020936278
153229291
2249025817
done500025697

prune707.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes746.0ms

Accuracy

53.4% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 4.7b

bsearch2.0ms

simplify9.0ms

Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
027868
139868
done39868

end0.0ms

sample1.0s

Algorithm
intervals
Results
655.0ms10073×body80valid