Details

Time bar (total: 17.7s)

sample40.0ms

Algorithm
intervals
Results
15.0ms271×body80valid

simplify2.1s

Counts
1 → 1
Iterations
IterNodes
done5001
64036
5902
4255
3105
258
125
012

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.6b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (- t z))
0.0b
(+ (/ (- z y) (/ (+ 1.0 (- t z)) a)) x)
0.0b
(/ (+ 1.0 (- t z)) a)
8.5b
(/ (- z y) (/ (+ 1.0 (- t z)) a))

rewrite322.0ms

Algorithm
rewrite-expression-head
Rules
245×*-un-lft-identity
200×times-frac
128×add-sqr-sqrt
88×add-cube-cbrt
47×distribute-lft-out
43×distribute-lft-out--
22×associate-/r*
20×difference-of-squares
11×add-cbrt-cube add-exp-log add-log-exp
10×associate-/l*
8×div-inv
4×pow1 cbrt-undiv div-exp associate-/l/
3×sum-log flip3-+ div-sub flip-+
2×+-commutative associate-+r+ clear-num associate-+r- frac-2neg
1×sub-neg flip3-- diff-log associate-/r/ associate-+l- flip--
Counts
4 → 205
Calls
4 calls:
24.0ms
(+ 1.0 (- t z))
186.0ms
(+ (/ (- z y) (/ (+ 1.0 (- t z)) a)) x)
52.0ms
(/ (+ 1.0 (- t z)) a)
40.0ms
(/ (- z y) (/ (+ 1.0 (- t z)) a))

series484.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(+ 1.0 (- t z))
191.0ms
(+ (/ (- z y) (/ (+ 1.0 (- t z)) a)) x)
58.0ms
(/ (+ 1.0 (- t z)) a)
216.0ms
(/ (- z y) (/ (+ 1.0 (- t z)) a))

simplify1.7s

Counts
217 → 217
Iterations
IterNodes
done5000
24083
1809
0268

prune1.2s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ t 1.0) z)
0.0b
(+ (* (/ (- z y) (- (+ t 1.0) z)) a) x)
0.0b
(/ (- z y) (- (+ t 1.0) z))
1.3b
(* (/ (- z y) (- (+ t 1.0) z)) a)

rewrite239.0ms

Algorithm
rewrite-expression-head
Rules
116×*-un-lft-identity
85×add-sqr-sqrt
61×times-frac
37×distribute-lft-out--
36×associate-*l*
30×add-cube-cbrt
25×difference-of-squares
12×distribute-lft-out
11×add-cbrt-cube add-exp-log add-log-exp
6×pow1 associate-/r*
5×associate-/l*
4×flip3-- associate-/r/ flip--
3×associate-*r*
2×cbrt-undiv sum-log diff-log div-exp prod-exp cbrt-unprod div-inv unswap-sqr associate-/l/
1×+-commutative clear-num sub-neg frac-2neg flip3-+ div-sub pow-prod-down associate-*l/ associate--l+ *-commutative flip-+
Counts
4 → 141
Calls
4 calls:
28.0ms
(- (+ t 1.0) z)
38.0ms
(+ (* (/ (- z y) (- (+ t 1.0) z)) a) x)
41.0ms
(/ (- z y) (- (+ t 1.0) z))
120.0ms
(* (/ (- z y) (- (+ t 1.0) z)) a)

series508.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(- (+ t 1.0) z)
166.0ms
(+ (* (/ (- z y) (- (+ t 1.0) z)) a) x)
86.0ms
(/ (- z y) (- (+ t 1.0) z))
240.0ms
(* (/ (- z y) (- (+ t 1.0) z)) a)

simplify1.6s

Counts
153 → 153
Iterations
IterNodes
done5001
22129
1513
0193

prune755.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ t 1.0) z)
0.0b
(/ (- (+ t 1.0) z) (- z y))
0.1b
(/ 1 (/ (- (+ t 1.0) z) (- z y)))
1.3b
(* (/ 1 (/ (- (+ t 1.0) z) (- z y))) a)

rewrite267.0ms

Algorithm
rewrite-expression-head
Rules
486×*-un-lft-identity
462×times-frac
372×add-sqr-sqrt
176×add-cube-cbrt
133×distribute-lft-out--
113×associate-*l*
91×difference-of-squares
42×distribute-lft-out
41×associate-/r*
36×add-exp-log
20×add-cbrt-cube
18×associate-/r/
15×div-exp
10×flip3-- div-inv flip--
9×associate-/l* add-log-exp
7×pow1 cbrt-undiv prod-exp
5×unswap-sqr
4×rec-exp 1-exp
3×associate-*r* cbrt-unprod
2×clear-num frac-2neg diff-log associate-/l/
1×sum-log sub-neg div-sub pow-prod-down associate-*l/ associate--l+ *-commutative pow-flip inv-pow
Counts
4 → 384
Calls
4 calls:
28.0ms
(- (+ t 1.0) z)
63.0ms
(/ (- (+ t 1.0) z) (- z y))
44.0ms
(/ 1 (/ (- (+ t 1.0) z) (- z y)))
108.0ms
(* (/ 1 (/ (- (+ t 1.0) z) (- z y))) a)

series332.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(- (+ t 1.0) z)
66.0ms
(/ (- (+ t 1.0) z) (- z y))
106.0ms
(/ 1 (/ (- (+ t 1.0) z) (- z y)))
143.0ms
(* (/ 1 (/ (- (+ t 1.0) z) (- z y))) a)

simplify678.0ms

Counts
396 → 396
Iterations
IterNodes
done5000
11155
0393

prune1.8s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* (/ 1 (- (+ t 1.0) z)) (+ y z)) (- z y))
0.2b
(* (/ 1 (- (+ t 1.0) z)) (+ y z))
1.3b
(* (/ (* (* (/ 1 (- (+ t 1.0) z)) (+ y z)) (- z y)) (+ z y)) a)
9.9b
(/ (* (* (/ 1 (- (+ t 1.0) z)) (+ y z)) (- z y)) (+ z y))

rewrite899.0ms

Algorithm
rewrite-expression-head
Rules
80×add-exp-log
52×add-cbrt-cube
47×*-un-lft-identity
38×add-sqr-sqrt prod-exp
35×associate-*l*
34×frac-times
28×times-frac
22×cbrt-unprod
21×add-cube-cbrt
20×div-exp
18×associate-*l/ associate-*r/
17×associate-/l/
16×flip3-+ flip-+
13×pow1 flip3-- flip--
12×cbrt-undiv associate-*r*
7×distribute-lft-out distribute-lft-out--
6×associate-/r/
5×pow-prod-down
4×rec-exp associate-/r* 1-exp add-log-exp difference-of-squares unswap-sqr
3×distribute-rgt-in distribute-lft-in *-commutative div-inv
2×sub-neg
1×clear-num frac-2neg associate-/l*
Counts
4 → 182
Calls
4 calls:
116.0ms
(* (* (/ 1 (- (+ t 1.0) z)) (+ y z)) (- z y))
84.0ms
(* (/ 1 (- (+ t 1.0) z)) (+ y z))
514.0ms
(* (/ (* (* (/ 1 (- (+ t 1.0) z)) (+ y z)) (- z y)) (+ z y)) a)
176.0ms
(/ (* (* (/ 1 (- (+ t 1.0) z)) (+ y z)) (- z y)) (+ z y))

series1.1s

Counts
4 → 12
Calls
4 calls:
193.0ms
(* (* (/ 1 (- (+ t 1.0) z)) (+ y z)) (- z y))
144.0ms
(* (/ 1 (- (+ t 1.0) z)) (+ y z))
443.0ms
(* (/ (* (* (/ 1 (- (+ t 1.0) z)) (+ y z)) (- z y)) (+ z y)) a)
275.0ms
(/ (* (* (/ 1 (- (+ t 1.0) z)) (+ y z)) (- z y)) (+ z y))

simplify593.0ms

Counts
194 → 194
Iterations
IterNodes
done5000
11172
0328

prune1.3s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes438.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done19
119
014

end0.0ms

sample1.3s

Algorithm
intervals
Results
682.0ms8476×body80valid
0.0ms1×body1280valid
0.0ms1×body160valid