Details

Time bar (total: 13.1s)

sample30.0ms

Algorithm
intervals
Results
17.0ms275×body80valid

simplify152.0ms

Counts
1 → 1
Iterations
IterNodes
done169
10169
9166
8162
7146
6120
598
472
347
225
117
08

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.1b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
3.1b
(* (/ (- x y) (- z y)) t)

rewrite51.0ms

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-cbrt-cube add-exp-log
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*r* flip--
2×expm1-log1p-u cbrt-undiv div-exp prod-exp cbrt-unprod insert-posit16 log1p-expm1-u div-inv add-log-exp unswap-sqr associate-/l/
1×clear-num frac-2neg div-sub pow-prod-down associate-*l/ *-commutative
Counts
2 → 108
Calls
2 calls:
23.0ms
(/ (- x y) (- z y))
26.0ms
(* (/ (- x y) (- z y)) t)

series200.0ms

Counts
2 → 6
Calls
2 calls:
70.0ms
(/ (- x y) (- z y))
130.0ms
(* (/ (- x y) (- z y)) t)

simplify2.1s

Counts
114 → 114
Iterations
IterNodes
done5002
33867
21093
1383
0149

prune457.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z y) (- x y))
0.1b
(/ 1 (/ (- z y) (- x y)))
3.1b
(* (/ 1 (/ (- z y) (- x y))) t)

rewrite140.0ms

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×expm1-log1p-u associate-*r* cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
2×clear-num frac-2neg associate-/l/
1×div-sub pow-prod-down associate-*l/ *-commutative pow-flip inv-pow
Counts
3 → 335
Calls
3 calls:
34.0ms
(/ (- z y) (- x y))
29.0ms
(/ 1 (/ (- z y) (- x y)))
64.0ms
(* (/ 1 (/ (- z y) (- x y))) t)

series476.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(/ (- z y) (- x y))
188.0ms
(/ 1 (/ (- z y) (- x y)))
220.0ms
(* (/ 1 (/ (- z y) (- x y))) t)

simplify2.0s

Counts
344 → 344
Iterations
IterNodes
done5000
22820
11021
0359

prune1.1s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z y) (- x y))
3.1b
(/ t (/ (- z y) (- x y)))

rewrite33.0ms

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-cbrt-cube add-exp-log
8×associate-/l*
6×flip3-- div-inv flip--
4×cbrt-undiv div-exp
2×expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp associate-/l/
1×div-sub
Counts
2 → 200
Calls
2 calls:
15.0ms
(/ (- z y) (- x y))
14.0ms
(/ t (/ (- z y) (- x y)))

series237.0ms

Counts
2 → 6
Calls
2 calls:
63.0ms
(/ (- z y) (- x y))
173.0ms
(/ t (/ (- z y) (- x y)))

simplify1.4s

Counts
206 → 206
Iterations
IterNodes
done5002
22766
1739
0276

prune665.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ z (- x y))
0.0b
(/ y (- x y))
3.1b
(/ t (- (/ z (- x y)) (/ y (- x y))))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
174×*-un-lft-identity
156×times-frac
134×add-sqr-sqrt
56×distribute-lft-out--
54×add-cube-cbrt
32×difference-of-squares
28×associate-/r*
24×associate-/r/
12×distribute-rgt-out--
11×flip3-- div-inv flip--
9×add-cbrt-cube add-exp-log associate-/l*
3×expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg div-exp insert-posit16 log1p-expm1-u add-log-exp
1×frac-sub sub-div
Counts
3 → 174
Calls
3 calls:
10.0ms
(/ z (- x y))
10.0ms
(/ y (- x y))
66.0ms
(/ t (- (/ z (- x y)) (/ y (- x y))))

series207.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(/ z (- x y))
48.0ms
(/ y (- x y))
115.0ms
(/ t (- (/ z (- x y)) (/ y (- x y))))

simplify1.7s

Counts
183 → 183
Iterations
IterNodes
done5001
21709
1545
0273

prune696.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes223.0ms

Accuracy

-4.6% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.1b

bsearch91.0ms

Steps
ItersRangePoint
8
2.1404603426561788e-264
5.832234744519446e-262
8.32421302174108e-264
8
-3.2295303377561927e-26
-9.97935775652708e-30
-2.912467718582163e-29

simplify6.0ms

Iterations
IterNodes
done27
127
020

end0.0ms

sample996.0ms

Algorithm
intervals
Results
701.0ms8736×body80valid