Details

Time bar (total: 1.1m)

sample334.0ms

Algorithm
intervals
Results
182.0ms275×body80valid

simplify6.0s

Counts
1 → 1
Iterations
IterNodes
done5001
101717
9667
8348
7196
6132
5111
493
365
237
123
014

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.2b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- t a))
0.0b
(* z (- b y))
1.1b
(+ (* x y) (* z (- t a)))
24.3b
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite219.0ms

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:
42.0ms
(* z (- t a))
50.0ms
(* z (- b y))
38.0ms
(+ (* x y) (* z (- t a)))
85.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series1.5s

Counts
4 → 12
Calls
4 calls:
134.0ms
(* z (- t a))
104.0ms
(* z (- b y))
387.0ms
(+ (* x y) (* z (- t a)))
867.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify6.5s

Counts
110 → 110
Iterations
IterNodes
done5001
21307
1425
0169

prune1.5s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 24.4b

localize65.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- b y))
1.0b
(/ 1 (+ y (* z (- b y))))
1.1b
(+ (* x y) (* z (- t a)))
23.7b
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

rewrite216.0ms

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:
67.0ms
(* z (- b y))
23.0ms
(/ 1 (+ y (* z (- b y))))
20.0ms
(+ (* x y) (* z (- t a)))
80.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

series1.4s

Counts
4 → 12
Calls
4 calls:
143.0ms
(* z (- b y))
356.0ms
(/ 1 (+ y (* z (- b y))))
92.0ms
(+ (* x y) (* z (- t a)))
779.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify4.8s

Counts
128 → 128
Iterations
IterNodes
done5000
21581
1483
0176

prune2.5s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 24.4b

localize70.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- b y))
0.4b
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
1.1b
(+ (* x y) (* z (- t a)))
24.2b
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

rewrite257.0ms

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:
43.0ms
(* z (- b y))
70.0ms
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
19.0ms
(+ (* x y) (* z (- t a)))
112.0ms
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

series3.0s

Counts
4 → 12
Calls
4 calls:
74.0ms
(* z (- b y))
2.2s
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
193.0ms
(+ (* x y) (* z (- t a)))
585.0ms
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify3.9s

Counts
168 → 168
Iterations
IterNodes
done5003
21895
1635
0244

prune2.1s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 24.4b

localize58.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ 1 (+ (* x y) (* z (- t a))))
1.0b
(/ 1 (+ y (* z (- b y))))
1.1b
(+ (* x y) (* z (- t a)))
23.4b
(/ (/ 1 (+ y (* z (- b y)))) (/ 1 (+ (* x y) (* z (- t a)))))

rewrite360.0ms

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:
36.0ms
(/ 1 (+ (* x y) (* z (- t a))))
20.0ms
(/ 1 (+ y (* z (- b y))))
18.0ms
(+ (* x y) (* z (- t a)))
74.0ms
(/ (/ 1 (+ y (* z (- b y)))) (/ 1 (+ (* x y) (* z (- t a)))))

series3.0s

Counts
4 → 12
Calls
4 calls:
145.0ms
(/ 1 (+ (* x y) (* z (- t a))))
234.0ms
(/ 1 (+ y (* z (- b y))))
121.0ms
(+ (* x y) (* z (- t a)))
2.5s
(/ (/ 1 (+ y (* z (- b y)))) (/ 1 (+ (* x y) (* z (- t a)))))

simplify9.4s

Counts
380 → 380
Iterations
IterNodes
done5000
24316
11723
0539

prune7.7s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 24.4b

regimes3.5s

Accuracy

0% (0.8b remaining)

Error of 23.1b against oracle of 22.3b and baseline of 23.1b

bsearch0.0ms

simplify10.0ms

Iterations
IterNodes
done24
124
017

end0.0ms

sample7.9s

Algorithm
intervals
Results
7.0s8439×body80valid