Details

Time bar (total: 12.1s)

sample30.0ms

Algorithm
intervals
Results
10.0ms282×body80valid

simplify3.3s

Counts
1 → 1
Iterations
IterNodes
done5000
91914
8811
7428
6259
5148
496
360
235
117
010

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ t (- a z))
11.0b
(* (- y z) (/ t (- a z)))

rewrite57.0ms

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-cbrt-cube add-exp-log
8×distribute-lft-out-- difference-of-squares
5×associate-/r* associate-*l*
4×pow1 flip3-- associate-/r/ flip--
3×associate-/l*
2×frac-times cbrt-undiv div-exp associate-*l/ prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
1×clear-num frac-2neg pow-prod-down associate-*r/ *-commutative
Counts
2 → 83
Calls
2 calls:
13.0ms
(/ t (- a z))
39.0ms
(* (- y z) (/ t (- a z)))

series128.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ t (- a z))
81.0ms
(* (- y z) (/ t (- a z)))

simplify860.0ms

Counts
89 → 89
Iterations
IterNodes
done5001
21674
1317
0130

prune504.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- a z))
0.2b
(* t (/ 1 (- a z)))
11.0b
(* (- y z) (* t (/ 1 (- a z))))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
41×*-un-lft-identity
32×times-frac
31×add-exp-log
24×add-cube-cbrt
22×associate-*r*
19×add-cbrt-cube
13×prod-exp
11×pow1
8×associate-*l* distribute-lft-out-- difference-of-squares
7×cbrt-unprod
6×div-exp associate-*r/
5×associate-/r* flip3-- flip--
4×frac-times pow-prod-down associate-/r/ un-div-inv
3×cbrt-undiv rec-exp 1-exp associate-/l* add-log-exp unswap-sqr
2×associate-*l/ *-commutative div-inv
1×clear-num frac-2neg pow-flip inv-pow
Counts
3 → 117
Calls
3 calls:
9.0ms
(/ 1 (- a z))
29.0ms
(* t (/ 1 (- a z)))
63.0ms
(* (- y z) (* t (/ 1 (- a z))))

series168.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(/ 1 (- a z))
45.0ms
(* t (/ 1 (- a z)))
79.0ms
(* (- y z) (* t (/ 1 (- a z))))

simplify643.0ms

Counts
126 → 126
Iterations
IterNodes
done5000
21667
1398
0156

prune441.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- a z) t)
11.7b
(/ (- y z) (/ (- a z) t))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
200×times-frac
170×add-sqr-sqrt *-un-lft-identity
86×add-cube-cbrt
42×distribute-lft-out-- difference-of-squares
22×associate-/r*
10×associate-/l*
9×add-cbrt-cube add-exp-log
8×div-inv
4×cbrt-undiv div-exp associate-/l/
2×pow1 clear-num frac-2neg flip3-- div-sub flip-- add-log-exp
1×associate-/r/
Counts
2 → 175
Calls
2 calls:
24.0ms
(/ (- a z) t)
27.0ms
(/ (- y z) (/ (- a z) t))

series166.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(/ (- a z) t)
120.0ms
(/ (- y z) (/ (- a z) t))

simplify1.0s

Counts
181 → 181
Iterations
IterNodes
done5001
23877
1784
0247

prune828.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (- a z))
0.0b
(/ z (- a z))
1.5b
(* t (/ z (- a z)))
4.0b
(* (/ y (- a z)) t)

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
82×add-sqr-sqrt
72×*-un-lft-identity
62×times-frac
44×add-cube-cbrt
24×associate-*r* associate-*l*
18×add-cbrt-cube add-exp-log
14×distribute-lft-out-- difference-of-squares
10×associate-/r*
8×pow1 associate-/r/
6×associate-/l*
4×cbrt-undiv flip3-- div-exp prod-exp cbrt-unprod div-inv flip-- add-log-exp unswap-sqr
2×clear-num frac-2neg pow-prod-down *-commutative
1×associate-*l/ associate-*r/
Counts
4 → 154
Calls
4 calls:
9.0ms
(/ y (- a z))
10.0ms
(/ z (- a z))
29.0ms
(* t (/ z (- a z)))
35.0ms
(* (/ y (- a z)) t)

series296.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(/ y (- a z))
65.0ms
(/ z (- a z))
57.0ms
(* t (/ z (- a z)))
131.0ms
(* (/ y (- a z)) t)

simplify941.0ms

Counts
166 → 166
Iterations
IterNodes
done5001
21999
1487
0192

prune940.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes347.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done21
221
120
014

end0.0ms

sample1.1s

Algorithm
intervals
Results
453.0ms8779×body80valid
0.0ms2×body160valid
0.0ms1×body640valid