Details

Time bar (total: 9.8s)

sample45.0ms

Algorithm
intervals
Results
20.0ms270×body80valid

simplify47.0ms

Counts
1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.4b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- t a))
0.0b
(* z (- b y))
0.8b
(+ (* x y) (* z (- t a)))
24.5b
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite136.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
20×*-un-lft-identity
16×add-cube-cbrt
10×add-exp-log associate-*r* add-cbrt-cube
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×flip3-+ associate-/r* flip-+ associate-/l*
2×flip3-- pow-prod-down prod-exp associate-/r/ *-commutative flip-- cbrt-unprod associate-/l/ distribute-lft-out-- difference-of-squares unswap-sqr
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
4 → 98
Calls
4 calls:
34.0ms
(* z (- t a))
30.0ms
(* z (- b y))
14.0ms
(+ (* x y) (* z (- t a)))
54.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series619.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(* z (- t a))
50.0ms
(* z (- b y))
65.0ms
(+ (* x y) (* z (- t a)))
450.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify50.0ms

Counts
110 → 110

prune418.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 24.6b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- b y))
0.5b
(/ 1 (+ y (* z (- b y))))
0.8b
(+ (* x y) (* z (- t a)))
24.5b
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

rewrite135.0ms

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 sub-neg associate-+r+ distribute-lft-in div-exp associate-/r/ unswap-sqr
3×associate-*r/ associate-/r* cbrt-unprod associate-/l*
2×cbrt-undiv frac-times rec-exp 1-exp pow-prod-down associate-*l/ *-commutative div-inv
1×+-commutative flip3-- pow-flip frac-2neg clear-num sum-log un-div-inv flip-- distribute-lft-out-- inv-pow difference-of-squares
Counts
4 → 116
Calls
4 calls:
31.0ms
(* z (- b y))
21.0ms
(/ 1 (+ y (* z (- b y))))
15.0ms
(+ (* x y) (* z (- t a)))
63.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

series639.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(* z (- b y))
105.0ms
(/ 1 (+ y (* z (- b y))))
53.0ms
(+ (* x y) (* z (- t a)))
431.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify54.0ms

Counts
128 → 128

prune389.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 24.6b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- b y))
0.3b
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
0.8b
(+ (* x y) (* z (- t a)))
24.4b
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

rewrite120.0ms

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×cbrt-undiv distribute-rgt-in sub-neg associate-+r+ distribute-lft-in
3×associate-*l*
2×rec-exp frac-2neg 1-exp associate-*r/ clear-num associate-/l/
1×+-commutative flip3-- pow-flip pow-prod-down prod-exp sum-log *-commutative flip-- cbrt-unprod distribute-lft-out-- inv-pow difference-of-squares unswap-sqr
Counts
4 → 156
Calls
4 calls:
30.0ms
(* z (- b y))
38.0ms
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
13.0ms
(+ (* x y) (* z (- t a)))
32.0ms
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

series1.5s

Counts
4 → 12
Calls
4 calls:
62.0ms
(* z (- b y))
1.1s
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
60.0ms
(+ (* x y) (* z (- t a)))
360.0ms
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify90.0ms

Counts
168 → 168

prune609.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 24.6b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ 1 (+ y (* z (- b y))))
0.8b
(+ (* x y) (* z (- t a)))
0.8b
(/ 1 (+ (* x y) (* z (- t a))))
24.1b
(/ (/ 1 (+ y (* z (- b y)))) (/ 1 (+ (* x y) (* z (- t a)))))

rewrite127.0ms

Algorithm
rewrite-expression-head
Rules
531×times-frac
244×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
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×frac-2neg clear-num
2×distribute-rgt-in sub-neg pow-flip distribute-lft-in inv-pow
1×+-commutative sum-log associate-/l/
Counts
4 → 368
Calls
4 calls:
15.0ms
(/ 1 (+ y (* z (- b y))))
15.0ms
(+ (* x y) (* z (- t a)))
20.0ms
(/ 1 (+ (* x y) (* z (- t a))))
40.0ms
(/ (/ 1 (+ y (* z (- b y)))) (/ 1 (+ (* x y) (* z (- t a)))))

series1.3s

Counts
4 → 12
Calls
4 calls:
110.0ms
(/ 1 (+ y (* z (- b y))))
60.0ms
(+ (* x y) (* z (- t a)))
82.0ms
(/ 1 (+ (* x y) (* z (- t a))))
1.0s
(/ (/ 1 (+ y (* z (- b y)))) (/ 1 (+ (* x y) (* z (- t a)))))

simplify94.0ms

Counts
380 → 380

prune1.4s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 24.6b

regimes519.0ms

Accuracy

10.5% (0.6b remaining)

Error of 23.0b against oracle of 22.4b and baseline of 23.0b

bsearch0.0ms

simplify49.0ms

end0.0ms

sample1.3s

Algorithm
intervals
Results
574.0ms8402×body80valid