Details

Time bar (total: 16.3s)

sample43.0ms

Algorithm
intervals
Results
25.0ms270×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: 20.1b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (* z (- b y)))
0.0b
(* z (- b y))
0.2b
(+ (* x y) (* z (- t a)))
20.1b
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
16×*-un-lft-identity
14×add-cube-cbrt
9×times-frac
8×associate-+r+ add-cbrt-cube add-exp-log add-log-exp
6×distribute-rgt-in pow1 sub-neg distribute-lft-in
5×associate-*r*
4×flip3-+ flip-+ insert-posit16
3×associate-/r* associate-*l* associate-/l*
2×+-commutative sum-log associate-*r/ associate-/r/ associate-/l/
1×cbrt-undiv 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 → 91
Calls
4 calls:
9.0ms
(+ y (* z (- b y)))
16.0ms
(* z (- b y))
12.0ms
(+ (* x y) (* z (- t a)))
44.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series572.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(+ y (* z (- b y)))
58.0ms
(* z (- b y))
67.0ms
(+ (* x y) (* z (- t a)))
409.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify1.3s

Counts
103 → 103
Iterations
IterNodes
done5002
21201
1373
0150

prune524.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 19.8b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- t a))
0.0b
(* z (- b y))
0.2b
(+ (* x y) (* z (- t a)))
20.1b
(/ (+ (* x y) (* z (- t a))) (+ (* z (- b y)) y))

rewrite104.0ms

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:
19.0ms
(* z (- t a))
19.0ms
(* z (- b y))
13.0ms
(+ (* x y) (* z (- t a)))
51.0ms
(/ (+ (* x y) (* z (- t a))) (+ (* z (- b y)) y))

series578.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* z (- t a))
51.0ms
(* z (- b y))
67.0ms
(+ (* x y) (* z (- t a)))
420.0ms
(/ (+ (* x y) (* z (- t a))) (+ (* z (- b y)) y))

simplify1.2s

Counts
114 → 114
Iterations
IterNodes
done5002
21300
1423
0173

prune659.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 19.8b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- t a) z)
0.0b
(* z (- b y))
0.2b
(+ (* x y) (* (- t a) z))
20.1b
(/ (+ (* x y) (* (- t a) z)) (+ (* z (- b y)) y))

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
20×*-un-lft-identity
16×add-cube-cbrt
10×add-cbrt-cube add-exp-log
9×times-frac
8×pow1 associate-*r* associate-*l*
6×add-log-exp
4×insert-posit16
3×associate-/r* flip3-+ flip-+ associate-/l*
2×distribute-rgt-in sub-neg distribute-lft-in flip3-- pow-prod-down associate-*l/ prod-exp associate-*r/ 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 → 94
Calls
4 calls:
19.0ms
(* (- t a) z)
22.0ms
(* z (- b y))
16.0ms
(+ (* x y) (* (- t a) z))
48.0ms
(/ (+ (* x y) (* (- t a) z)) (+ (* z (- b y)) y))

series477.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(* (- t a) z)
52.0ms
(* z (- b y))
64.0ms
(+ (* x y) (* (- t a) z))
315.0ms
(/ (+ (* x y) (* (- t a) z)) (+ (* z (- b y)) y))

simplify1.2s

Counts
106 → 106
Iterations
IterNodes
done5001
21334
1420
0168

prune674.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 19.8b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- b y))
0.2b
(+ (* x y) (* z (- t a)))
0.2b
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
20.1b
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

rewrite110.0ms

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:
25.0ms
(* z (- b y))
16.0ms
(+ (* x y) (* z (- t a)))
24.0ms
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
41.0ms
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

series1.5s

Counts
4 → 12
Calls
4 calls:
60.0ms
(* z (- b y))
81.0ms
(+ (* x y) (* z (- t a)))
1.0s
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
367.0ms
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify1.8s

Counts
172 → 172
Iterations
IterNodes
done5001
21896
1643
0248

prune1.1s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 19.8b

regimes1.0s

Accuracy

0% (0.3b remaining)

Error of 22.1b against oracle of 21.8b and baseline of 22.1b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done19
119
014

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.3s8412×body80valid