Details

Time bar (total: 18.7s)

sample34.0ms

Algorithm
intervals
Results
14.0ms271×body80valid

simplify1.6s

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: 1.0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (- z y) (/ (+ 1.0 (- t z)) a)) x)
0.0b
(/ (+ 1.0 (- t z)) a)
9.5b
(/ (- z y) (/ (+ 1.0 (- t z)) a))

rewrite308.0ms

Algorithm
rewrite-expression-head
Rules
239×*-un-lft-identity
200×times-frac
127×add-sqr-sqrt
87×add-cube-cbrt
45×distribute-lft-out
42×distribute-lft-out--
22×associate-/r*
20×difference-of-squares
10×add-cbrt-cube add-exp-log associate-/l*
8×div-inv
5×add-log-exp
4×cbrt-undiv div-exp associate-/l/
3×pow1 div-sub
2×clear-num frac-2neg flip3-+ flip-+
1×+-commutative associate-+r- sum-log flip3-- associate-/r/ associate-+l- flip--
Counts
3 → 188
Calls
3 calls:
189.0ms
(+ (/ (- z y) (/ (+ 1.0 (- t z)) a)) x)
53.0ms
(/ (+ 1.0 (- t z)) a)
53.0ms
(/ (- z y) (/ (+ 1.0 (- t z)) a))

series358.0ms

Counts
3 → 9
Calls
3 calls:
134.0ms
(+ (/ (- z y) (/ (+ 1.0 (- t z)) a)) x)
54.0ms
(/ (+ 1.0 (- t z)) a)
170.0ms
(/ (- z y) (/ (+ 1.0 (- t z)) a))

simplify1.6s

Counts
197 → 197
Iterations
IterNodes
done5001
23794
1778
0254

prune771.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (/ (- z y) (- (+ 1.0 t) z)) (/ 1 a)) x)
0.0b
(/ (- z y) (- (+ 1.0 t) z))
0.8b
(/ (/ (- z y) (- (+ 1.0 t) z)) (/ 1 a))

rewrite635.0ms

Algorithm
rewrite-expression-head
Rules
1251×times-frac
1007×*-un-lft-identity
777×add-sqr-sqrt
443×add-cube-cbrt
243×distribute-lft-out--
167×difference-of-squares
77×distribute-lft-out
53×div-inv
41×associate-/l*
31×associate-/r/
27×add-exp-log
19×associate-/r*
17×add-cbrt-cube div-exp
16×flip3-- flip--
9×cbrt-undiv
5×div-sub add-log-exp
3×pow1 associate-/l/
2×rec-exp clear-num frac-2neg 1-exp
1×+-commutative sum-log flip3-+ associate-+l- flip-+
Counts
3 → 613
Calls
3 calls:
441.0ms
(+ (/ (/ (- z y) (- (+ 1.0 t) z)) (/ 1 a)) x)
55.0ms
(/ (- z y) (- (+ 1.0 t) z))
81.0ms
(/ (/ (- z y) (- (+ 1.0 t) z)) (/ 1 a))

series425.0ms

Counts
3 → 9
Calls
3 calls:
166.0ms
(+ (/ (/ (- z y) (- (+ 1.0 t) z)) (/ 1 a)) x)
78.0ms
(/ (- z y) (- (+ 1.0 t) z))
181.0ms
(/ (/ (- z y) (- (+ 1.0 t) z)) (/ 1 a))

simplify951.0ms

Counts
622 → 622
Iterations
IterNodes
done5001
12551
0719

prune1.9s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ (/ y (+ 1.0 (- t z))) (/ 1 a)) x)
0.0b
(/ z (- (+ 1.0 t) z))
1.2b
(/ (/ z (- (+ 1.0 t) z)) (/ 1 a))
3.4b
(/ (/ y (+ 1.0 (- t z))) (/ 1 a))

rewrite636.0ms

Algorithm
rewrite-expression-head
Rules
1501×times-frac
1054×*-un-lft-identity
727×add-sqr-sqrt
610×add-cube-cbrt
135×distribute-lft-out--
130×distribute-lft-out
78×div-inv
60×associate-/r/
53×difference-of-squares
50×add-exp-log
48×associate-/l*
33×div-exp
32×associate-/r*
30×add-cbrt-cube
17×cbrt-undiv
16×flip3-- flip--
14×flip3-+ flip-+
6×add-log-exp
4×pow1 rec-exp 1-exp
3×clear-num frac-2neg
2×associate-/l/
1×sub-neg diff-log
Counts
4 → 765
Calls
4 calls:
381.0ms
(- (/ (/ y (+ 1.0 (- t z))) (/ 1 a)) x)
38.0ms
(/ z (- (+ 1.0 t) z))
90.0ms
(/ (/ z (- (+ 1.0 t) z)) (/ 1 a))
61.0ms
(/ (/ y (+ 1.0 (- t z))) (/ 1 a))

series525.0ms

Counts
4 → 12
Calls
4 calls:
124.0ms
(- (/ (/ y (+ 1.0 (- t z))) (/ 1 a)) x)
71.0ms
(/ z (- (+ 1.0 t) z))
158.0ms
(/ (/ z (- (+ 1.0 t) z)) (/ 1 a))
171.0ms
(/ (/ y (+ 1.0 (- t z))) (/ 1 a))

simplify1.4s

Counts
777 → 777
Iterations
IterNodes
done5000
13627
01027

prune3.3s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(cbrt a)
9.5b
(/ (- z y) (* (* (/ (cbrt (- (+ 1.0 t) z)) (cbrt a)) (/ (cbrt (- (+ 1.0 t) z)) (cbrt a))) (/ (cbrt (- (+ 1.0 t) z)) (cbrt a))))

rewrite246.0ms

Algorithm
rewrite-expression-head
Rules
57×add-exp-log
31×add-cbrt-cube
24×cbrt-undiv div-exp
18×prod-exp cbrt-unprod
13×add-sqr-sqrt *-un-lft-identity
9×cbrt-prod add-cube-cbrt
7×associate-/r/
5×frac-times times-frac associate-*l/ associate-/l*
4×pow1 add-log-exp
3×pow1/3 associate-*r/
2×distribute-lft-out-- difference-of-squares associate-/l/
1×clear-num associate-/r* frac-2neg flip3-- div-sub div-inv flip--
Counts
4 → 86
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
1.0ms
(cbrt a)
241.0ms
(/ (- z y) (* (* (/ (cbrt (- (+ 1.0 t) z)) (cbrt a)) (/ (cbrt (- (+ 1.0 t) z)) (cbrt a))) (/ (cbrt (- (+ 1.0 t) z)) (cbrt a))))

series968.0ms

Counts
4 → 12
Calls
4 calls:
257.0ms
(cbrt a)
234.0ms
(cbrt a)
274.0ms
(cbrt a)
204.0ms
(/ (- z y) (* (* (/ (cbrt (- (+ 1.0 t) z)) (cbrt a)) (/ (cbrt (- (+ 1.0 t) z)) (cbrt a))) (/ (cbrt (- (+ 1.0 t) z)) (cbrt a))))

simplify806.0ms

Counts
98 → 98
Iterations
IterNodes
done5002
22221
1522
0164

prune527.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes332.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done22
122
018

end0.0ms

sample1.1s

Algorithm
intervals
Results
522.0ms8465×body80valid
0.0ms2×body640valid