Details

Time bar (total: 16.7s)

sample43.0ms

Algorithm
intervals
Results
16.0ms278×body80valid

simplify202.0ms

Counts
1 → 1
Iterations
IterNodes
done166
11166
10164
9158
8151
7139
6122
5101
471
349
225
117
08

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
4.6b
(* (/ (- x y) (- z y)) t)

rewrite88.0ms

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 div-inv add-log-exp unswap-sqr associate-/l/
1×clear-num frac-2neg div-sub pow-prod-down associate-*l/ *-commutative
Counts
2 → 102
Calls
2 calls:
41.0ms
(/ (- x y) (- z y))
39.0ms
(* (/ (- x y) (- z y)) t)

series249.0ms

Counts
2 → 6
Calls
2 calls:
74.0ms
(/ (- x y) (- z y))
175.0ms
(* (/ (- x y) (- z y)) t)

simplify768.0ms

Counts
108 → 108
Iterations
IterNodes
done5000
21456
1372
0143

prune437.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- z y))
0.2b
(* (- x y) (/ 1 (- z y)))
4.6b
(* (* (- x y) (/ 1 (- z y))) t)

rewrite140.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
41×*-un-lft-identity
32×times-frac
31×add-exp-log
24×associate-*r* add-cube-cbrt
19×add-cbrt-cube
13×prod-exp
11×pow1
10×associate-*l/
8×distribute-lft-out-- difference-of-squares
7×cbrt-unprod
6×flip3-- div-exp associate-*l* flip--
5×associate-/r*
4×frac-times pow-prod-down associate-/r/
3×cbrt-undiv rec-exp 1-exp associate-/l* add-log-exp unswap-sqr
2×associate-*r/ un-div-inv *-commutative div-inv
1×clear-num frac-2neg pow-flip inv-pow
Counts
3 → 119
Calls
3 calls:
10.0ms
(/ 1 (- z y))
46.0ms
(* (- x y) (/ 1 (- z y)))
80.0ms
(* (* (- x y) (/ 1 (- z y))) t)

series288.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(/ 1 (- z y))
88.0ms
(* (- x y) (/ 1 (- z y)))
148.0ms
(* (* (- x y) (/ 1 (- z y))) t)

simplify6.6s

Counts
128 → 128
Iterations
IterNodes
done5000
23818
1418
0161

prune506.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- z y))
0.5b
(cbrt (- z y))
0.5b
(cbrt (- z y))
4.6b
(* (* (/ 1 (* (cbrt (- z y)) (cbrt (- z y)))) (/ (- x y) (cbrt (- z y)))) t)

rewrite408.0ms

Algorithm
rewrite-expression-head
Rules
65×add-exp-log
35×prod-exp
26×add-cbrt-cube
15×cbrt-prod div-exp cbrt-unprod
14×add-sqr-sqrt *-un-lft-identity
9×pow1
8×add-cube-cbrt
7×cbrt-undiv
6×cbrt-div
4×rec-exp 1-exp associate-*l/ add-log-exp
3×flip3-- pow1/3 associate-*r* pow-prod-down flip-- distribute-lft-out-- difference-of-squares
1×frac-times associate-*l* associate-*r/ *-commutative
Counts
4 → 84
Calls
4 calls:
3.0ms
(cbrt (- z y))
3.0ms
(cbrt (- z y))
3.0ms
(cbrt (- z y))
396.0ms
(* (* (/ 1 (* (cbrt (- z y)) (cbrt (- z y)))) (/ (- x y) (cbrt (- z y)))) t)

series922.0ms

Counts
4 → 12
Calls
4 calls:
206.0ms
(cbrt (- z y))
198.0ms
(cbrt (- z y))
253.0ms
(cbrt (- z y))
264.0ms
(* (* (/ 1 (* (cbrt (- z y)) (cbrt (- z y)))) (/ (- x y) (cbrt (- z y)))) t)

simplify1.2s

Counts
96 → 96
Iterations
IterNodes
done5000
22322
1501
0175

prune526.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

4.2b
(cbrt (* t (/ (- x y) (- z y))))
4.6b
(* t (/ (- x y) (- z y)))
4.6b
(* t (/ (- x y) (- z y)))
4.6b
(* t (/ (- x y) (- z y)))

rewrite193.0ms

Algorithm
rewrite-expression-head
Rules
115×add-sqr-sqrt
100×*-un-lft-identity
93×associate-*r*
78×times-frac
40×add-cube-cbrt
30×distribute-lft-out-- difference-of-squares
19×add-cbrt-cube add-exp-log
10×pow1
9×associate-*l*
6×prod-exp associate-/r/ cbrt-unprod unswap-sqr
4×associate-*r/ add-log-exp
3×cbrt-undiv flip3-- div-exp pow-prod-down *-commutative div-inv flip--
1×cbrt-prod cbrt-div pow1/3
Counts
4 → 160
Calls
4 calls:
16.0ms
(cbrt (* t (/ (- x y) (- z y))))
62.0ms
(* t (/ (- x y) (- z y)))
39.0ms
(* t (/ (- x y) (- z y)))
65.0ms
(* t (/ (- x y) (- z y)))

series572.0ms

Counts
4 → 12
Calls
4 calls:
302.0ms
(cbrt (* t (/ (- x y) (- z y))))
94.0ms
(* t (/ (- x y) (- z y)))
85.0ms
(* t (/ (- x y) (- z y)))
90.0ms
(* t (/ (- x y) (- z y)))

simplify679.0ms

Counts
172 → 172
Iterations
IterNodes
done5000
21324
1355
0143

prune884.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes426.0ms

Accuracy

21.3% (1.8b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 2.4b

bsearch1.0ms

simplify3.0ms

Iterations
IterNodes
done30
130
024

end0.0ms

sample1.4s

Algorithm
intervals
Results
878.0ms8714×body80valid