Details

Time bar (total: 10.1s)

sample46.0ms

Algorithm
intervals
Results
19.0ms280×body80valid

simplify245.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1179
2259
3499
4779
51099
61389
71559
81709
91779
101839
111859
done1859

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.7b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
1.6b
(* (/ (- x y) (- z y)) t)

rewrite85.0ms

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 expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 106
Calls
2 calls:
26.0ms
(/ (- x y) (- z y))
53.0ms
(* (/ (- x y) (- z y)) t)

series218.0ms

Counts
2 → 6
Calls
2 calls:
87.0ms
(/ (- x y) (- z y))
130.0ms
(* (/ (- x y) (- z y)) t)

simplify969.0ms

Counts
112 → 112
Iterations

Useful iterations: done (964.0ms)

IterNodesCost
01471339
13811303
214761225
done50011219

prune502.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ t (- z y))
9.8b
(* (- x y) (/ t (- z y)))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
38×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
21×associate-*r*
9×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×associate-*l* associate-/r*
4×pow1 flip3-- associate-/r/ flip--
3×associate-/l*
2×cbrt-undiv expm1-log1p-u frac-times div-exp associate-*l/ prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 87
Calls
2 calls:
12.0ms
(/ t (- z y))
63.0ms
(* (- x y) (/ t (- z y)))

series159.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(/ t (- z y))
105.0ms
(* (- x y) (/ t (- z y)))

simplify1.1s

Counts
93 → 93
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01341009
1325968
21682896
done5001888

prune445.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* t (- x y))
10.5b
(/ (* t (- x y)) (- z y))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
24×*-un-lft-identity
18×add-cube-cbrt prod-diff
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
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 expm1-log1p-u sub-neg div-exp prod-exp associate-/r/ cbrt-unprod log1p-expm1-u associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 77
Calls
2 calls:
42.0ms
(* t (- x y))
37.0ms
(/ (* t (- x y)) (- z y))

series158.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(* t (- x y))
92.0ms
(/ (* t (- x y)) (- z y))

simplify1.1s

Counts
83 → 83
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01571123
1398942
21623778
done5001748

prune358.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z y) (- x y))
1.6b
(/ t (/ (- z y) (- x y)))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
9×add-exp-log add-cbrt-cube
8×associate-/l*
6×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
1×div-sub
Counts
2 → 198
Calls
2 calls:
42.0ms
(/ (- z y) (- x y))
40.0ms
(/ t (/ (- z y) (- x y)))

series300.0ms

Counts
2 → 6
Calls
2 calls:
63.0ms
(/ (- z y) (- x y))
237.0ms
(/ t (/ (- z y) (- x y)))

simplify1.8s

Counts
204 → 204
Iterations

Useful iterations: done (1.8s)

IterNodesCost
02743524
17433340
238813202
done50013198

prune893.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes340.0ms

Accuracy

42.3% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 2.3b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01847
12047
done2047

end0.0ms

sample1.1s

Algorithm
intervals
Results
687.0ms8679×body80valid