Details

Time bar (total: 18.0s)

sample50.0ms

Algorithm
intervals
Results
27.0ms332×body80valid

simplify142.0ms

Counts
1 → 1
Iterations
IterNodes
done108
9108
8105
799
685
573
458
339
225
115
010

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(- (/ y z) (/ t (- 1.0 z)))
2.8b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite281.0ms

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:
10.0ms
(/ t (- 1.0 z))
41.0ms
(- (/ y z) (/ t (- 1.0 z)))
227.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series234.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(/ t (- 1.0 z))
74.0ms
(- (/ y z) (/ t (- 1.0 z)))
103.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify3.3s

Counts
98 → 98
Iterations
IterNodes
done5001
34804
21267
1409
0170

prune736.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- 1.0 z))
0.0b
(- (/ y z) (* t (/ 1 (- 1.0 z))))
0.1b
(* t (/ 1 (- 1.0 z)))
2.8b
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

rewrite139.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
41×*-un-lft-identity
32×times-frac
26×add-cube-cbrt
24×associate-*r*
19×add-exp-log
13×add-cbrt-cube
9×pow1
7×associate-*r/ distribute-lft-out-- difference-of-squares
6×associate-*l* add-log-exp
5×associate-/r* prod-exp
4×flip3-- div-exp associate-/r/ frac-sub flip-- unswap-sqr
3×sub-neg un-div-inv cbrt-unprod associate-/l*
2×distribute-rgt-in cbrt-undiv rec-exp distribute-lft-in 1-exp pow-prod-down *-commutative div-inv
1×clear-num frac-2neg diff-log pow-flip inv-pow
Counts
4 → 125
Calls
4 calls:
12.0ms
(/ 1 (- 1.0 z))
18.0ms
(- (/ y z) (* t (/ 1 (- 1.0 z))))
44.0ms
(* t (/ 1 (- 1.0 z)))
57.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

series258.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(/ 1 (- 1.0 z))
66.0ms
(- (/ y z) (* t (/ 1 (- 1.0 z))))
57.0ms
(* t (/ 1 (- 1.0 z)))
86.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

simplify1.6s

Counts
137 → 137
Iterations
IterNodes
done5009
21581
1514
0208

prune746.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- 1.0 z) t)
0.0b
(- (/ y z) (/ 1 (/ (- 1.0 z) t)))
1.0b
(/ 1 (/ (- 1.0 z) t))
2.8b
(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

rewrite485.0ms

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:
14.0ms
(/ (- 1.0 z) t)
103.0ms
(- (/ y z) (/ 1 (/ (- 1.0 z) t)))
32.0ms
(/ 1 (/ (- 1.0 z) t))
328.0ms
(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

series285.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(/ (- 1.0 z) t)
68.0ms
(- (/ y z) (/ 1 (/ (- 1.0 z) t)))
48.0ms
(/ 1 (/ (- 1.0 z) t))
85.0ms
(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

simplify2.0s

Counts
214 → 214
Iterations
IterNodes
done5015
22551
1838
0308

prune982.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize75.0ms

Local error

Found 4 expressions with local error:

2.8b
(* x (* (* (cbrt (- (/ y z) (* t (/ 1 (- 1.0 z))))) (cbrt (- (/ y z) (* t (/ 1 (- 1.0 z)))))) (cbrt (- (/ y z) (* t (/ 1 (- 1.0 z)))))))
5.0b
(cbrt (- (/ y z) (* t (/ 1 (- 1.0 z)))))
5.0b
(cbrt (- (/ y z) (* t (/ 1 (- 1.0 z)))))
5.0b
(cbrt (- (/ y z) (* t (/ 1 (- 1.0 z)))))

rewrite522.0ms

Algorithm
rewrite-expression-head
Rules
312×cbrt-div
226×associate-*r/
176×frac-times
156×frac-sub
78×flip3-- un-div-inv flip--
44×associate-*l/
13×pow1 add-exp-log
9×cbrt-prod add-cbrt-cube
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×pow-prod-down prod-exp cbrt-unprod
4×add-log-exp
3×pow1/3 associate-*l*
1×associate-*r* *-commutative
Counts
4 → 190
Calls
4 calls:
452.0ms
(* x (* (* (cbrt (- (/ y z) (* t (/ 1 (- 1.0 z))))) (cbrt (- (/ y z) (* t (/ 1 (- 1.0 z)))))) (cbrt (- (/ y z) (* t (/ 1 (- 1.0 z)))))))
16.0ms
(cbrt (- (/ y z) (* t (/ 1 (- 1.0 z)))))
14.0ms
(cbrt (- (/ y z) (* t (/ 1 (- 1.0 z)))))
13.0ms
(cbrt (- (/ y z) (* t (/ 1 (- 1.0 z)))))

series788.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(* x (* (* (cbrt (- (/ y z) (* t (/ 1 (- 1.0 z))))) (cbrt (- (/ y z) (* t (/ 1 (- 1.0 z)))))) (cbrt (- (/ y z) (* t (/ 1 (- 1.0 z)))))))
256.0ms
(cbrt (- (/ y z) (* t (/ 1 (- 1.0 z)))))
197.0ms
(cbrt (- (/ y z) (* t (/ 1 (- 1.0 z)))))
231.0ms
(cbrt (- (/ y z) (* t (/ 1 (- 1.0 z)))))

simplify2.5s

Counts
202 → 202
Iterations
IterNodes
done5003
22256
11016
0400

prune1.3s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes569.0ms

Accuracy

-0.2% (4.5b remaining)

Error of 4.6b against oracle of 0.0b and baseline of 4.6b

bsearch2.0ms

simplify3.0ms

Iterations
IterNodes
done24
124
019

end0.0ms

sample932.0ms

Algorithm
intervals
Results
551.0ms10193×body80valid