Details

Time bar (total: 8.5s)

sample41.0ms

Algorithm
intervals
Results
16.0ms275×body80valid

simplify197.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1179
2259
3499
4719
51019
61229
71399
81519
91589
101649
111669
done1669

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.3b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
1.2b
(* (/ (- x y) (- z y)) t)

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*l*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*r* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 102
Calls
2 calls:
27.0ms
(/ (- x y) (- z y))
47.0ms
(* (/ (- x y) (- z y)) t)

series224.0ms

Counts
2 → 6
Calls
2 calls:
73.0ms
(/ (- x y) (- z y))
151.0ms
(* (/ (- x y) (- z y)) t)

simplify901.0ms

Counts
108 → 108
Iterations

Useful iterations: done (898.0ms)

IterNodesCost
01431303
13721269
214591191
done50001185

prune250.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (- z y))
0.0b
(/ y (- z y))
1.2b
(* (- (/ x (- z y)) (/ y (- z y))) t)

rewrite448.0ms

Algorithm
rewrite-expression-head
Rules
69×*-un-lft-identity
61×add-sqr-sqrt
48×times-frac
27×add-cube-cbrt
20×distribute-lft-out--
18×associate-*l*
14×difference-of-squares
10×associate-/r*
9×add-exp-log add-cbrt-cube
8×associate-/r/
6×associate-/l*
5×pow1 flip3-- flip--
4×associate-*l/ div-inv
3×distribute-rgt-out-- associate-*r* add-log-exp
2×cbrt-undiv frac-2neg div-exp clear-num
1×pow-prod-down prod-exp *-commutative frac-sub cbrt-unprod sub-div unswap-sqr
Counts
3 → 111
Calls
3 calls:
13.0ms
(/ x (- z y))
23.0ms
(/ y (- z y))
406.0ms
(* (- (/ x (- z y)) (/ y (- z y))) t)

series302.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(/ x (- z y))
56.0ms
(/ y (- z y))
201.0ms
(* (- (/ x (- z y)) (/ y (- z y))) t)

simplify635.0ms

Counts
120 → 120
Iterations

Useful iterations: 2 (152.0ms)

IterNodesCost
01741378
13711319
212261245
done50011245

prune430.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z y) (- x y))
0.5b
(/ 1 (/ (- z y) (- x y)))
1.2b
(* (/ 1 (/ (- z y) (- x y))) t)

rewrite175.0ms

Algorithm
rewrite-expression-head
Rules
392×times-frac
335×add-sqr-sqrt
323×*-un-lft-identity
157×add-cube-cbrt
98×associate-*l*
82×distribute-lft-out-- difference-of-squares
36×associate-/r*
35×add-exp-log
19×add-cbrt-cube
18×associate-/r/
15×div-exp
10×div-inv
9×flip3-- flip--
8×associate-/l*
7×cbrt-undiv prod-exp
6×pow1
5×unswap-sqr
4×rec-exp 1-exp
3×associate-*r* cbrt-unprod add-log-exp
2×frac-2neg clear-num associate-/l/
1×pow-flip div-sub pow-prod-down associate-*l/ *-commutative inv-pow
Counts
3 → 326
Calls
3 calls:
27.0ms
(/ (- z y) (- x y))
28.0ms
(/ 1 (/ (- z y) (- x y)))
89.0ms
(* (/ 1 (/ (- z y) (- x y))) t)

series463.0ms

Counts
3 → 9
Calls
3 calls:
70.0ms
(/ (- z y) (- x y))
175.0ms
(/ 1 (/ (- z y) (- x y)))
218.0ms
(* (/ 1 (/ (- z y) (- x y))) t)

simplify664.0ms

Counts
335 → 335
Iterations

Useful iterations: done (646.0ms)

IterNodesCost
03505302
110264688
done50004304

prune938.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* t (- x y))
10.1b
(/ (* t (- x y)) (- z y))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×*-un-lft-identity
9×add-exp-log add-cbrt-cube
6×add-cube-cbrt
5×times-frac associate-*r* associate-/r*
4×pow1 associate-*r/
3×flip3-- associate-*l* flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 55
Calls
2 calls:
22.0ms
(* t (- x y))
38.0ms
(/ (* t (- x y)) (- z y))

series175.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(* t (- x y))
114.0ms
(/ (* t (- x y)) (- z y))

simplify1.1s

Counts
61 → 61
Iterations

Useful iterations: done (1.1s)

IterNodesCost
0105599
1280575
21110509
done5001501

prune154.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes154.0ms

Accuracy

0% (2.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11311
done1311

end0.0ms

sample1.0s

Algorithm
intervals
Results
510.0ms8752×body80valid