Details

Time bar (total: 19.0s)

sample40.0ms

Algorithm
intervals
Results
22.0ms268×body80valid

simplify1.2s

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.5b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- t a))
0.0b
(+ y (* z (- b y)))
0.5b
(+ (* x y) (* z (- t a)))
25.6b
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite98.0ms

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:
30.0ms
(* z (- t a))
12.0ms
(+ y (* z (- b y)))
14.0ms
(+ (* x y) (* z (- t a)))
40.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series582.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* z (- t a))
40.0ms
(+ y (* z (- b y)))
69.0ms
(+ (* x y) (* z (- t a)))
434.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify1.1s

Counts
103 → 103
Iterations
IterNodes
done5001
21228
1385
0152

prune535.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 25.2b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (* z (- b y)))
0.2b
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
0.5b
(+ (* x y) (* z (- t a)))
25.5b
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
56×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×associate-/r*
17×add-exp-log
11×add-cbrt-cube associate-/r/
8×associate-+r+ flip3-+ div-exp flip-+ add-log-exp
6×div-inv associate-/l*
5×pow1
4×distribute-rgt-in cbrt-undiv sub-neg distribute-lft-in insert-posit16
2×+-commutative rec-exp clear-num sum-log frac-2neg 1-exp associate-/l/
1×pow-flip inv-pow
Counts
4 → 149
Calls
4 calls:
7.0ms
(+ y (* z (- b y)))
23.0ms
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
13.0ms
(+ (* x y) (* z (- t a)))
43.0ms
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

series1.5s

Counts
4 → 12
Calls
4 calls:
46.0ms
(+ y (* z (- b y)))
1.1s
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
58.0ms
(+ (* x y) (* z (- t a)))
344.0ms
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify1.6s

Counts
161 → 161
Iterations
IterNodes
done5013
21946
1581
0220

prune979.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 25.2b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (* z (- b y)))
0.3b
(/ 1 (+ y (* z (- b y))))
0.5b
(+ (* (- t a) z) (* x y))
25.4b
(* (/ 1 (+ y (* z (- b y)))) (+ (* (- t a) z) (* x y)))

rewrite113.0ms

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-*l*
11×add-cbrt-cube
8×add-log-exp
7×pow1
6×flip3-+ flip-+
4×associate-+r+ div-exp prod-exp associate-/r/ insert-posit16
3×distribute-rgt-in associate-/r* distribute-lft-in associate-*r* associate-/l* unswap-sqr
2×frac-times cbrt-undiv +-commutative rec-exp sum-log sub-neg 1-exp associate-*r/ cbrt-unprod div-inv
1×clear-num frac-2neg pow-prod-down associate-*l/ *-commutative pow-flip inv-pow
Counts
4 → 106
Calls
4 calls:
9.0ms
(+ y (* z (- b y)))
12.0ms
(/ 1 (+ y (* z (- b y))))
21.0ms
(+ (* (- t a) z) (* x y))
69.0ms
(* (/ 1 (+ y (* z (- b y)))) (+ (* (- t a) z) (* x y)))

series1.3s

Counts
4 → 12
Calls
4 calls:
39.0ms
(+ y (* z (- b y)))
120.0ms
(/ 1 (+ y (* z (- b y))))
65.0ms
(+ (* (- t a) z) (* x y))
1.1s
(* (/ 1 (+ y (* z (- b y)))) (+ (* (- t a) z) (* x y)))

simplify1.6s

Counts
118 → 118
Iterations
IterNodes
done5000
21863
1529
0154

prune711.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 25.2b

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y)))))
0.2b
(/ 1 (/ 1 (/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))))
0.5b
(+ (* x y) (* z (- t a)))
25.6b
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
528×times-frac
255×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
68×associate-/r*
60×add-exp-log
43×div-exp
40×associate-/r/
23×div-inv
20×add-cbrt-cube
19×flip3-+ flip-+
15×rec-exp 1-exp
10×cbrt-undiv
9×associate-/l*
7×pow1
6×add-log-exp
5×pow-flip
4×associate-+r+ insert-posit16
3×clear-num frac-2neg inv-pow
2×distribute-rgt-in sub-neg distribute-lft-in associate-/l/
1×+-commutative sum-log remove-double-div
Counts
4 → 377
Calls
4 calls:
16.0ms
(/ 1 (/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y)))))
20.0ms
(/ 1 (/ 1 (/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))))
9.0ms
(+ (* x y) (* z (- t a)))
36.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series1.1s

Counts
4 → 12
Calls
4 calls:
181.0ms
(/ 1 (/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y)))))
454.0ms
(/ 1 (/ 1 (/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))))
57.0ms
(+ (* x y) (* z (- t a)))
375.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify2.2s

Counts
389 → 389
Iterations
IterNodes
done5002
22442
11428
0509

prune1.9s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 25.2b

regimes916.0ms

Accuracy

0% (0.4b remaining)

Error of 22.5b against oracle of 22.2b and baseline of 22.5b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done23
123
016

end0.0ms

sample1.1s

Algorithm
intervals
Results
807.0ms8411×body80valid