Details

Time bar (total: 9.0s)

sample21.0ms

Algorithm
intervals
Results
9.0ms316×body80valid

simplify76.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01011
11511
22511
33811
45611
57211
68511
79911
810511
910711
done10711

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.9b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite137.0ms

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-exp-log add-cbrt-cube
5×pow1 associate-/r* add-log-exp
3×sub-neg flip3-- associate-*r/ associate-*l* flip-- associate-/l*
2×distribute-rgt-in distribute-lft-in associate-/r/ frac-sub
1×cbrt-undiv frac-2neg diff-log div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod div-inv unswap-sqr
Counts
3 → 89
Calls
3 calls:
30.0ms
(- (/ y z) (/ t (- 1.0 z)))
6.0ms
(/ t (- 1.0 z))
98.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series116.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(- (/ y z) (/ t (- 1.0 z)))
37.0ms
(/ t (- 1.0 z))
46.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify1.1s

Counts
98 → 98
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01701300
13871249
29261175
324281153
done50001152

prune233.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite68.0ms

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×prod-exp associate-/r*
4×flip3-- div-exp associate-/r/ frac-sub flip-- unswap-sqr
3×sub-neg un-div-inv cbrt-unprod associate-/l*
2×cbrt-undiv distribute-rgt-in rec-exp distribute-lft-in 1-exp pow-prod-down *-commutative div-inv
1×pow-flip frac-2neg diff-log clear-num inv-pow
Counts
4 → 125
Calls
4 calls:
11.0ms
(- (/ y z) (* t (/ 1 (- 1.0 z))))
6.0ms
(/ 1 (- 1.0 z))
19.0ms
(* t (/ 1 (- 1.0 z)))
28.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

series142.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(- (/ y z) (* t (/ 1 (- 1.0 z))))
23.0ms
(/ 1 (- 1.0 z))
34.0ms
(* t (/ 1 (- 1.0 z)))
49.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

simplify1.6s

Counts
137 → 137
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02081748
14951430
211691300
333261276
done50011275

prune265.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

2.8b
(* x (- (/ y z) (/ t (- 1.0 z))))
7.2b
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
7.2b
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
7.2b
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

rewrite185.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
17×*-un-lft-identity
12×associate-*r/
10×associate-*r*
9×cbrt-div
8×times-frac
6×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
4×flip3-- frac-sub flip-- distribute-lft-out-- add-log-exp difference-of-squares
3×cbrt-prod pow1/3 associate-*l*
2×distribute-rgt-in sub-neg distribute-lft-in
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 68
Calls
4 calls:
103.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))
26.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
26.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
28.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

series797.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))
238.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
238.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
274.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

simplify875.0ms

Counts
80 → 80
Iterations

Useful iterations: 3 (276.0ms)

IterNodesCost
01351405
13131365
27371213
320521181
done50011181

prune279.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

2.8b
(* x (- (/ y z) (/ t (- 1.0 z))))
5.7b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
7.2b
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
7.2b
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

rewrite181.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
29×*-un-lft-identity
16×times-frac
12×cbrt-prod
10×associate-*r*
9×cbrt-div associate-*r/
8×distribute-lft-out-- difference-of-squares
7×add-cube-cbrt
6×pow1 add-exp-log add-cbrt-cube
4×flip3-- frac-sub flip-- add-log-exp
3×pow1/3 associate-*l*
2×distribute-rgt-in sub-neg distribute-lft-in
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 77
Calls
4 calls:
100.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))
24.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
28.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
26.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

series657.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))
135.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
238.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
233.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

simplify918.0ms

Counts
89 → 89
Iterations

Useful iterations: 3 (332.0ms)

IterNodesCost
01821574
13971527
28931390
323421350
done50001350

prune340.0ms

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 0.0b

regimes396.0ms

Accuracy

58.3% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 4.8b

bsearch2.0ms

simplify6.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
03493
15281
25681
done5681

end0.0ms

sample579.0ms

Algorithm
intervals
Results
311.0ms10012×body80valid