Details

Time bar (total: 17.0s)

sample43.0ms

Algorithm
intervals
Results
29.0ms270×body80valid

simplify1.6s

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.1b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- b y))
0.0b
(* z (- t a))
0.5b
(+ (* x y) (* z (- t a)))
19.1b
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite76.0ms

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/ insert-posit16
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 → 102
Calls
4 calls:
15.0ms
(* z (- b y))
14.0ms
(* z (- t a))
8.0ms
(+ (* x y) (* z (- t a)))
37.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series511.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* z (- b y))
44.0ms
(* z (- t a))
50.0ms
(+ (* x y) (* z (- t a)))
379.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify1.2s

Counts
114 → 114
Iterations
IterNodes
done5001
21329
1431
0173

prune593.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 18.9b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- t a))
0.5b
(+ (* x y) (* z (- t a)))
1.2b
(/ 1 (+ y (* z (- b y))))
18.3b
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
25×*-un-lft-identity
22×add-cube-cbrt
20×times-frac associate-*r*
19×add-exp-log
13×add-cbrt-cube
9×pow1
6×associate-*l* add-log-exp
5×flip3-+ prod-exp flip-+
4×distribute-rgt-in associate-+r+ sub-neg distribute-lft-in div-exp associate-/r/ insert-posit16 unswap-sqr
3×associate-/r* associate-*r/ cbrt-unprod associate-/l*
2×frac-times cbrt-undiv rec-exp 1-exp pow-prod-down associate-*l/ *-commutative div-inv
1×+-commutative clear-num sum-log frac-2neg flip3-- un-div-inv pow-flip flip-- distribute-lft-out-- inv-pow difference-of-squares
Counts
4 → 120
Calls
4 calls:
14.0ms
(* z (- t a))
8.0ms
(+ (* x y) (* z (- t a)))
7.0ms
(/ 1 (+ y (* z (- b y))))
31.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

series600.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(* z (- t a))
61.0ms
(+ (* x y) (* z (- t a)))
102.0ms
(/ 1 (+ y (* z (- b y))))
388.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify1.2s

Counts
132 → 132
Iterations
IterNodes
done5000
21583
1482
0178

prune724.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 18.9b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- t a))
0.5b
(+ (* x y) (* z (- t a)))
0.5b
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
19.1b
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

rewrite93.0ms

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 insert-posit16
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 → 160
Calls
4 calls:
22.0ms
(* z (- t a))
13.0ms
(+ (* x y) (* z (- t a)))
24.0ms
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
30.0ms
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

series1.4s

Counts
4 → 12
Calls
4 calls:
45.0ms
(* z (- t a))
70.0ms
(+ (* x y) (* z (- t a)))
937.0ms
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
359.0ms
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify1.7s

Counts
172 → 172
Iterations
IterNodes
done5003
21891
1637
0245

prune940.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 18.9b

localize34.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- t a))
0.6b
(cbrt (- t a))
0.6b
(cbrt (- t a))
19.1b
(/ (+ (* x y) (* (* z (* (cbrt (- t a)) (cbrt (- t a)))) (cbrt (- t a)))) (+ y (* z (- b y))))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt *-un-lft-identity
15×cbrt-prod add-cube-cbrt
9×times-frac
6×cbrt-div add-cbrt-cube add-exp-log
4×pow1 insert-posit16 add-log-exp
3×associate-/r* flip3-- pow1/3 flip-- associate-/l* distribute-lft-out-- difference-of-squares
2×flip3-+ associate-/r/ flip-+ associate-/l/
1×cbrt-undiv clear-num frac-2neg div-exp div-inv
Counts
4 → 80
Calls
4 calls:
3.0ms
(cbrt (- t a))
3.0ms
(cbrt (- t a))
6.0ms
(cbrt (- t a))
30.0ms
(/ (+ (* x y) (* (* z (* (cbrt (- t a)) (cbrt (- t a)))) (cbrt (- t a)))) (+ y (* z (- b y))))

series846.0ms

Counts
4 → 12
Calls
4 calls:
168.0ms
(cbrt (- t a))
177.0ms
(cbrt (- t a))
174.0ms
(cbrt (- t a))
327.0ms
(/ (+ (* x y) (* (* z (* (cbrt (- t a)) (cbrt (- t a)))) (cbrt (- t a)))) (+ y (* z (- b y))))

simplify2.2s

Counts
92 → 92
Iterations
IterNodes
done5000
33864
21062
1352
0146

prune561.0ms

Pruning

17 alts after pruning (14 fresh and 3 done)

Merged error: 18.8b

regimes1.1s

Accuracy

0% (0.4b remaining)

Error of 21.9b against oracle of 21.5b and baseline of 21.9b

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done24
124
016

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.1s8414×body80valid