Details

Time bar (total: 19.7s)

sample32.0ms

Algorithm
intervals
Results
14.0ms272×body80valid

simplify894.0ms

Counts
1 → 1
Iterations
IterNodes
done5000
91412
8514
7233
6164
5138
4102
365
237
123
014

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.2b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- b y))
0.0b
(* z (- t a))
0.8b
(+ (* x y) (* z (- t a)))
25.3b
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
20×*-un-lft-identity
16×add-cube-cbrt
10×add-cbrt-cube associate-*r* add-exp-log
9×times-frac
8×pow1
6×distribute-rgt-in sub-neg distribute-lft-in associate-*l* add-log-exp
4×associate-+r+ associate-*r/
3×associate-/r* flip3-+ flip-+ associate-/l*
2×flip3-- pow-prod-down prod-exp associate-/r/ *-commutative cbrt-unprod flip-- distribute-lft-out-- difference-of-squares unswap-sqr associate-/l/
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg div-exp div-inv
Counts
4 → 98
Calls
4 calls:
18.0ms
(* z (- b y))
25.0ms
(* z (- t a))
9.0ms
(+ (* x y) (* z (- t a)))
35.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series529.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* z (- b y))
42.0ms
(* z (- t a))
63.0ms
(+ (* x y) (* z (- t a)))
384.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify1.3s

Counts
110 → 110
Iterations
IterNodes
done5002
21595
1428
0169

prune781.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 25.5b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- b y))
0.5b
(+ (* x y) (* t z))
1.9b
(+ (+ (* x y) (* t z)) (* (- a) z))
25.3b
(/ (+ (+ (* x y) (* t z)) (* (- a) z)) (+ y (* z (- b y))))

rewrite165.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
16×*-un-lft-identity
14×add-cube-cbrt
11×add-log-exp
9×times-frac
8×add-cbrt-cube add-exp-log
6×pow1
5×associate-*r*
4×distribute-lft-neg-out sum-log flip3-+ flip-+
3×associate-/r* associate-*l* associate-/l*
2×distribute-rgt-in +-commutative sub-neg distribute-lft-in div-sub unsub-neg associate-*r/ associate-/r/ associate-/l/
1×cbrt-undiv associate-+l+ clear-num frac-2neg flip3-- div-exp pow-prod-down prod-exp *-commutative cbrt-unprod div-inv flip-- distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 85
Calls
4 calls:
24.0ms
(* z (- b y))
9.0ms
(+ (* x y) (* t z))
35.0ms
(+ (+ (* x y) (* t z)) (* (- a) z))
94.0ms
(/ (+ (+ (* x y) (* t z)) (* (- a) z)) (+ y (* z (- b y))))

series600.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(* z (- b y))
51.0ms
(+ (* x y) (* t z))
69.0ms
(+ (+ (* x y) (* t z)) (* (- a) z))
427.0ms
(/ (+ (+ (* x y) (* t z)) (* (- a) z)) (+ y (* z (- b y))))

simplify1.3s

Counts
97 → 97
Iterations
IterNodes
done5000
21924
1427
0155

prune920.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 25.5b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- t a))
0.3b
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
0.8b
(+ (* x y) (* z (- t a)))
25.3b
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
62×add-sqr-sqrt
60×*-un-lft-identity
58×add-cube-cbrt
19×add-exp-log
18×associate-/r*
13×add-cbrt-cube
11×associate-/r/
8×div-exp
7×pow1 flip3-+ flip-+
6×div-inv associate-/l* add-log-exp
5×associate-*r*
4×distribute-rgt-in cbrt-undiv associate-+r+ sub-neg distribute-lft-in
3×associate-*l*
2×rec-exp clear-num frac-2neg 1-exp associate-*r/ associate-/l/
1×+-commutative sum-log flip3-- pow-prod-down prod-exp *-commutative cbrt-unprod pow-flip flip-- distribute-lft-out-- inv-pow difference-of-squares unswap-sqr
Counts
4 → 156
Calls
4 calls:
28.0ms
(* z (- t a))
29.0ms
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
9.0ms
(+ (* x y) (* z (- t a)))
37.0ms
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

series1.7s

Counts
4 → 12
Calls
4 calls:
63.0ms
(* z (- t a))
1.1s
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
69.0ms
(+ (* x y) (* z (- t a)))
397.0ms
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify2.1s

Counts
168 → 168
Iterations
IterNodes
done5001
24015
1640
0241

prune1.2s

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 25.5b

localize38.0ms

Local error

Found 4 expressions with local error:

0.6b
(/ 1 (+ (* x y) (* z (- t a))))
0.8b
(+ (* x y) (* z (- t a)))
0.8b
(/ 1 (+ y (* z (- b y))))
24.8b
(/ (/ 1 (+ y (* z (- b y)))) (/ 1 (+ (* x y) (* z (- t a)))))

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
531×times-frac
244×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
69×associate-/r/
52×add-exp-log
36×div-exp
35×flip3-+ flip-+ div-inv
21×associate-/r* associate-/l*
20×add-cbrt-cube
10×cbrt-undiv rec-exp 1-exp
6×pow1 add-log-exp
4×associate-+r+
3×clear-num frac-2neg
2×distribute-rgt-in sub-neg distribute-lft-in pow-flip inv-pow
1×+-commutative sum-log associate-/l/
Counts
4 → 368
Calls
4 calls:
17.0ms
(/ 1 (+ (* x y) (* z (- t a))))
11.0ms
(+ (* x y) (* z (- t a)))
11.0ms
(/ 1 (+ y (* z (- b y))))
46.0ms
(/ (/ 1 (+ y (* z (- b y)))) (/ 1 (+ (* x y) (* z (- t a)))))

series1.3s

Counts
4 → 12
Calls
4 calls:
64.0ms
(/ 1 (+ (* x y) (* z (- t a))))
54.0ms
(+ (* x y) (* z (- t a)))
120.0ms
(/ 1 (+ y (* z (- b y))))
1.1s
(/ (/ 1 (+ y (* z (- b y)))) (/ 1 (+ (* x y) (* z (- t a)))))

simplify1.5s

Counts
380 → 380
Iterations
IterNodes
done5000
11896
0539

prune2.3s

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 25.5b

regimes1.4s

Accuracy

0% (0.6b remaining)

Error of 22.9b against oracle of 22.2b and baseline of 22.9b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done19
119
014

end0.0ms

sample1.3s

Algorithm
intervals
Results
820.0ms8442×body80valid