Details

Time bar (total: 15.2s)

sample40.0ms

Algorithm
intervals
Results
25.0ms275×body80valid

simplify145.0ms

Counts
1 → 1
Iterations
IterNodes
done148
10148
9145
8141
7125
6108
590
466
347
225
117
08

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.1b

localize24.0ms

Local error

Found 2 expressions with local error:

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

rewrite66.0ms

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×cbrt-undiv div-exp prod-exp cbrt-unprod insert-posit16 div-inv add-log-exp unswap-sqr associate-/l/
1×clear-num frac-2neg div-sub pow-prod-down associate-*l/ *-commutative
Counts
2 → 104
Calls
2 calls:
14.0ms
(/ (- x y) (- z y))
49.0ms
(* (/ (- x y) (- z y)) t)

series217.0ms

Counts
2 → 6
Calls
2 calls:
90.0ms
(/ (- x y) (- z y))
127.0ms
(* (/ (- x y) (- z y)) t)

simplify2.3s

Counts
110 → 110
Iterations
IterNodes
done5007
33993
21089
1374
0145

prune472.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

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)

rewrite118.0ms

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 insert-posit16 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 → 329
Calls
3 calls:
14.0ms
(/ (- z y) (- x y))
16.0ms
(/ 1 (/ (- z y) (- x y)))
75.0ms
(* (/ 1 (/ (- z y) (- x y))) t)

series916.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(/ (- z y) (- x y))
601.0ms
(/ 1 (/ (- z y) (- x y)))
249.0ms
(* (/ 1 (/ (- z y) (- x y))) t)

simplify2.2s

Counts
338 → 338
Iterations
IterNodes
done5002
22569
11012
0353

prune1.2s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize33.0ms

Local error

Found 2 expressions with local error:

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

rewrite67.0ms

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×pow1 clear-num frac-2neg insert-posit16 add-log-exp associate-/l/
1×div-sub
Counts
2 → 196
Calls
2 calls:
31.0ms
(/ (- z y) (- x y))
28.0ms
(/ t (/ (- z y) (- x y)))

series280.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(/ (- z y) (- x y))
221.0ms
(/ t (/ (- z y) (- x y)))

simplify1.9s

Counts
202 → 202
Iterations
IterNodes
done5000
22511
1718
0272

prune862.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize14.0ms

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))))

rewrite94.0ms

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×pow1 cbrt-undiv clear-num frac-2neg div-exp insert-posit16 add-log-exp
1×frac-sub sub-div
Counts
3 → 168
Calls
3 calls:
11.0ms
(/ z (- x y))
16.0ms
(/ y (- x y))
64.0ms
(/ t (- (/ z (- x y)) (/ y (- x y))))

series257.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(/ z (- x y))
66.0ms
(/ y (- x y))
136.0ms
(/ t (- (/ z (- x y)) (/ y (- x y))))

simplify1.7s

Counts
177 → 177
Iterations
IterNodes
done5001
21691
1534
0267

prune722.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes345.0ms

Accuracy

-4.6% (2.2b remaining)

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

bsearch100.0ms

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

simplify8.0ms

Iterations
IterNodes
done27
127
020

end0.0ms

sample1.1s

Algorithm
intervals
Results
805.0ms8736×body80valid