Details

Time bar (total: 16.0s)

sample27.0ms

Algorithm
intervals
Results
13.0ms325×body80valid

simplify144.0ms

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: 6.0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ y z) (/ t (- 1.0 z)))
0.0b
(/ t (- 1.0 z))
6.0b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite120.0ms

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/ insert-posit16 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 → 92
Calls
3 calls:
29.0ms
(- (/ y z) (/ t (- 1.0 z)))
12.0ms
(/ t (- 1.0 z))
77.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series157.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(- (/ y z) (/ t (- 1.0 z)))
45.0ms
(/ t (- 1.0 z))
65.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify2.4s

Counts
101 → 101
Iterations
IterNodes
done5002
34842
21277
1412
0173

prune473.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ y z) (/ 1 (/ (- 1.0 z) t)))
0.0b
(/ (- 1.0 z) t)
0.2b
(/ 1 (/ (- 1.0 z) t))
6.0b
(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

rewrite135.0ms

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 insert-posit16
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 → 206
Calls
4 calls:
22.0ms
(- (/ y z) (/ 1 (/ (- 1.0 z) t)))
13.0ms
(/ (- 1.0 z) t)
14.0ms
(/ 1 (/ (- 1.0 z) t))
82.0ms
(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

series217.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(- (/ y z) (/ 1 (/ (- 1.0 z) t)))
55.0ms
(/ (- 1.0 z) t)
35.0ms
(/ 1 (/ (- 1.0 z) t))
79.0ms
(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

simplify1.8s

Counts
218 → 218
Iterations
IterNodes
done5000
22457
1846
0312

prune802.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ y z) (/ (/ 1 (- 1.0 z)) (/ 1 t)))
0.0b
(/ 1 (- 1.0 z))
0.2b
(/ (/ 1 (- 1.0 z)) (/ 1 t))
6.0b
(* x (- (/ y z) (/ (/ 1 (- 1.0 z)) (/ 1 t))))

rewrite248.0ms

Algorithm
rewrite-expression-head
Rules
816×times-frac
550×add-sqr-sqrt
440×*-un-lft-identity
296×add-cube-cbrt
86×difference-of-squares
56×distribute-lft-out--
50×add-exp-log
46×div-inv
34×div-exp
31×associate-/r/
28×associate-*r*
24×associate-/l*
20×add-cbrt-cube
18×associate-/r*
17×flip3-- flip--
9×cbrt-undiv rec-exp 1-exp
7×pow1
6×add-log-exp
4×insert-posit16
3×sub-neg associate-*l* associate-*r/
2×distribute-rgt-in clear-num frac-2neg distribute-lft-in frac-sub
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod pow-flip inv-pow unswap-sqr associate-/l/
Counts
4 → 472
Calls
4 calls:
32.0ms
(- (/ y z) (/ (/ 1 (- 1.0 z)) (/ 1 t)))
17.0ms
(/ 1 (- 1.0 z))
32.0ms
(/ (/ 1 (- 1.0 z)) (/ 1 t))
154.0ms
(* x (- (/ y z) (/ (/ 1 (- 1.0 z)) (/ 1 t))))

series200.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(- (/ y z) (/ (/ 1 (- 1.0 z)) (/ 1 t)))
39.0ms
(/ 1 (- 1.0 z))
28.0ms
(/ (/ 1 (- 1.0 z)) (/ 1 t))
73.0ms
(* x (- (/ y z) (/ (/ 1 (- 1.0 z)) (/ 1 t))))

simplify2.0s

Counts
484 → 484
Iterations
IterNodes
done5000
12178
0690

prune1.4s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (- 1.0 z))
0.3b
(cbrt (- 1.0 z))
0.3b
(* (/ 1 (cbrt (- 1.0 z))) (/ 1 (cbrt (- 1.0 z))))
6.0b
(* x (- (/ y z) (* (* (/ 1 (cbrt (- 1.0 z))) (/ 1 (cbrt (- 1.0 z)))) (/ (* 1 t) (cbrt (- 1.0 z))))))

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
172×add-sqr-sqrt
148×times-frac
140×*-un-lft-identity
102×cbrt-prod
72×add-cube-cbrt
46×add-exp-log
38×swap-sqr
33×associate-*r* associate-*l*
26×unswap-sqr
21×pow1
20×distribute-lft-out--
17×prod-exp
16×div-exp
15×associate-*r/
14×add-cbrt-cube pow-flip difference-of-squares
12×cbrt-div
9×frac-sub
8×rec-exp pow1/3 1-exp associate-/r/ inv-pow
7×frac-times flip3-- associate-*l/ flip--
6×pow-prod-up div-inv
5×pow-prod-down cbrt-unprod
4×cbrt-undiv pow-sqr insert-posit16 add-log-exp
3×un-div-inv
2×distribute-rgt-in sub-neg distribute-lft-in *-commutative
1×pow2 pow-plus
Counts
4 → 238
Calls
4 calls:
4.0ms
(cbrt (- 1.0 z))
7.0ms
(cbrt (- 1.0 z))
49.0ms
(* (/ 1 (cbrt (- 1.0 z))) (/ 1 (cbrt (- 1.0 z))))
54.0ms
(* x (- (/ y z) (* (* (/ 1 (cbrt (- 1.0 z))) (/ 1 (cbrt (- 1.0 z)))) (/ (* 1 t) (cbrt (- 1.0 z))))))

series450.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(cbrt (- 1.0 z))
115.0ms
(cbrt (- 1.0 z))
158.0ms
(* (/ 1 (cbrt (- 1.0 z))) (/ 1 (cbrt (- 1.0 z))))
80.0ms
(* x (- (/ y z) (* (* (/ 1 (cbrt (- 1.0 z))) (/ 1 (cbrt (- 1.0 z)))) (/ (* 1 t) (cbrt (- 1.0 z))))))

simplify2.2s

Counts
250 → 250
Iterations
IterNodes
done5000
22482
11187
0397

prune1.2s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes593.0ms

Accuracy

73% (1.2b remaining)

Error of 1.3b against oracle of 0.1b and baseline of 4.5b

bsearch1.0ms

simplify5.0ms

Iterations
IterNodes
done30
130
023

end0.0ms

sample1.2s

Algorithm
intervals
Results
956.0ms10121×body80valid