Details

Time bar (total: 11.8s)

sample24.0ms

Algorithm
intervals
Results
11.0ms272×body80valid

simplify2.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01417
12317
23717
35517
47217
58417
610817
717717
832617
960517
10138917
11338217
done500117

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.4b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- b y))
0.0b
(+ y (* z (- b y)))
1.1b
(+ (* x y) (* z (- t a)))
18.8b
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
16×*-un-lft-identity
14×add-cube-cbrt
9×times-frac
8×add-exp-log associate-+r+ add-cbrt-cube add-log-exp
6×pow1 distribute-rgt-in sub-neg distribute-lft-in
5×associate-*r*
4×flip3-+ flip-+
3×associate-*l* associate-/r* associate-/l*
2×+-commutative associate-*r/ sum-log associate-/r/ associate-/l/
1×cbrt-undiv flip3-- frac-2neg div-exp pow-prod-down prod-exp clear-num *-commutative flip-- cbrt-unprod div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 87
Calls
4 calls:
10.0ms
(* z (- b y))
3.0ms
(+ y (* z (- b y)))
3.0ms
(+ (* x y) (* z (- t a)))
11.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series411.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* z (- b y))
28.0ms
(+ y (* z (- b y)))
40.0ms
(+ (* x y) (* z (- t a)))
306.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify1.5s

Counts
99 → 99
Iterations

Useful iterations: 2 (105.0ms)

IterNodesCost
01461497
13511447
210711327
343451327
done50001327

prune293.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 18.7b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (* z (- b y)))
0.6b
(/ 1 (+ y (* z (- b y))))
1.1b
(+ (* x y) (* z (- t a)))
18.4b
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
21×*-un-lft-identity
20×add-cube-cbrt times-frac
17×add-exp-log
15×associate-*r*
11×add-cbrt-cube
8×associate-+r+ add-log-exp
7×pow1
6×flip3-+ flip-+
4×distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp associate-/r/
3×associate-*l* associate-/r* associate-/l* unswap-sqr
2×cbrt-undiv +-commutative frac-times rec-exp 1-exp associate-*l/ sum-log cbrt-unprod div-inv
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
4 → 105
Calls
4 calls:
3.0ms
(+ y (* z (- b y)))
5.0ms
(/ 1 (+ y (* z (- b y))))
5.0ms
(+ (* x y) (* z (- t a)))
19.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

series449.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(+ y (* z (- b y)))
79.0ms
(/ 1 (+ y (* z (- b y))))
42.0ms
(+ (* x y) (* z (- t a)))
300.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify678.0ms

Counts
117 → 117
Iterations

Useful iterations: 2 (122.0ms)

IterNodesCost
01491999
13991831
212481635
done50001635

prune285.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 18.7b

localize14.0ms

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)))))
1.1b
(+ (* x y) (* z (- t a)))
18.8b
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
56×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×associate-/r*
17×add-exp-log
11×associate-/r/ add-cbrt-cube
8×associate-+r+ flip3-+ div-exp flip-+ add-log-exp
6×div-inv associate-/l*
5×pow1
4×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in
2×+-commutative rec-exp frac-2neg 1-exp clear-num sum-log associate-/l/
1×pow-flip inv-pow
Counts
4 → 145
Calls
4 calls:
3.0ms
(+ y (* z (- b y)))
10.0ms
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
3.0ms
(+ (* x y) (* z (- t a)))
11.0ms
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

series1.1s

Counts
4 → 12
Calls
4 calls:
28.0ms
(+ y (* z (- b y)))
776.0ms
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
40.0ms
(+ (* x y) (* z (- t a)))
257.0ms
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify523.0ms

Counts
157 → 157
Iterations

Useful iterations: 2 (165.0ms)

IterNodesCost
02164144
15263878
213813553
done50003553

prune356.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 18.7b

localize14.0ms

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))))))
1.1b
(+ (* x y) (* z (- t a)))
18.8b
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
528×times-frac
255×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
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+
3×frac-2neg clear-num inv-pow
2×distribute-rgt-in sub-neg distribute-lft-in associate-/l/
1×+-commutative sum-log remove-double-div
Counts
4 → 373
Calls
4 calls:
10.0ms
(/ 1 (/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y)))))
23.0ms
(/ 1 (/ 1 (/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))))
3.0ms
(+ (* x y) (* z (- t a)))
12.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series801.0ms

Counts
4 → 12
Calls
4 calls:
137.0ms
(/ 1 (/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y)))))
310.0ms
(/ 1 (/ 1 (/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))))
40.0ms
(+ (* x y) (* z (- t a)))
314.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify1.4s

Counts
385 → 385
Iterations

Useful iterations: done (1.3s)

IterNodesCost
050513414
1121610792
2248510296
done500010288

prune600.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 18.7b

regimes412.0ms

Accuracy

0% (0.7b remaining)

Error of 22.8b against oracle of 22.2b and baseline of 22.8b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01619
12419
done2419

end0.0ms

sample625.0ms

Algorithm
intervals
Results
337.0ms8418×body80valid