Details

Time bar (total: 17.8s)

sample31.0ms

Algorithm
intervals
Results
14.0ms272×body80valid

simplify1.4s

Counts
1 → 1
Iterations
IterNodes
done5002
101775
9710
8365
7203
6134
5114
495
365
237
123
014

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.2b

localize33.0ms

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))))

rewrite123.0ms

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:
29.0ms
(* z (- b y))
28.0ms
(* z (- t a))
18.0ms
(+ (* x y) (* z (- t a)))
43.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series584.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(* z (- b y))
40.0ms
(* z (- t a))
47.0ms
(+ (* x y) (* z (- t a)))
446.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify1.2s

Counts
110 → 110
Iterations
IterNodes
done5001
21327
1424
0169

prune681.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 25.5b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite107.0ms

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×sum-log flip3-+ distribute-rgt-neg-out 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:
16.0ms
(* z (- b y))
6.0ms
(+ (* x y) (* z t))
24.0ms
(+ (+ (* x y) (* z t)) (* z (- a)))
60.0ms
(/ (+ (+ (* x y) (* z t)) (* z (- a))) (+ y (* z (- b y))))

series562.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(* z (- b y))
42.0ms
(+ (* x y) (* z t))
52.0ms
(+ (+ (* x y) (* z t)) (* z (- a)))
425.0ms
(/ (+ (+ (* x y) (* z t)) (* z (- a))) (+ y (* z (- b y))))

simplify1.5s

Counts
97 → 97
Iterations
IterNodes
done5002
21690
1422
0157

prune677.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 25.5b

localize48.0ms

Local error

Found 4 expressions with local error:

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

rewrite133.0ms

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-+l+ 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:
19.0ms
(* z (- t a))
53.0ms
(/ 1 (/ (+ y (* z (- b y))) (+ (* z (- t a)) (* x y))))
20.0ms
(+ (* z (- t a)) (* x y))
36.0ms
(/ (+ y (* z (- b y))) (+ (* z (- t a)) (* x y)))

series1.5s

Counts
4 → 12
Calls
4 calls:
63.0ms
(* z (- t a))
1.0s
(/ 1 (/ (+ y (* z (- b y))) (+ (* z (- t a)) (* x y))))
50.0ms
(+ (* z (- t a)) (* x y))
329.0ms
(/ (+ y (* z (- b y))) (+ (* z (- t a)) (* x y)))

simplify1.7s

Counts
168 → 168
Iterations
IterNodes
done5001
22057
1638
0241

prune1.2s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 25.5b

localize31.0ms

Local error

Found 4 expressions with local error:

0.5b
(+ (* x y) (* z t))
0.8b
(/ 1 (+ y (* z (- b y))))
1.9b
(+ (+ (* x y) (* z t)) (* z (- a)))
25.2b
(* (+ (+ (* x y) (* z t)) (* z (- a))) (/ 1 (+ y (* z (- b y)))))

rewrite203.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
21×*-un-lft-identity
20×times-frac add-cube-cbrt
17×add-exp-log
15×associate-*r*
11×add-cbrt-cube add-log-exp
7×pow1
6×flip3-+ flip-+
4×sum-log div-exp prod-exp associate-/r/
3×associate-/r* associate-*l* associate-/l* unswap-sqr
2×frac-times cbrt-undiv +-commutative rec-exp 1-exp associate-*l/ distribute-rgt-neg-out cbrt-unprod div-inv
1×associate-+l+ clear-num frac-2neg unsub-neg pow-prod-down associate-*r/ un-div-inv *-commutative pow-flip inv-pow
Counts
4 → 101
Calls
4 calls:
11.0ms
(+ (* x y) (* z t))
14.0ms
(/ 1 (+ y (* z (- b y))))
42.0ms
(+ (+ (* x y) (* z t)) (* z (- a)))
129.0ms
(* (+ (+ (* x y) (* z t)) (* z (- a))) (/ 1 (+ y (* z (- b y)))))

series711.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(+ (* x y) (* z t))
149.0ms
(/ 1 (+ y (* z (- b y))))
60.0ms
(+ (+ (* x y) (* z t)) (* z (- a)))
447.0ms
(* (+ (+ (* x y) (* z t)) (* z (- a))) (/ 1 (+ y (* z (- b y)))))

simplify1.8s

Counts
113 → 113
Iterations
IterNodes
done5002
21953
1459
0153

prune681.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 25.5b

regimes1.2s

Accuracy

0% (0.7b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
done35
335
234
130
018

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.2s8442×body80valid