Details

Time bar (total: 17.6s)

sample25.0ms

Algorithm
intervals
Results
11.0ms272×body80valid

simplify2.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01417
12317
23717
35717
47417
58617
611017
717917
833517
978317
10323717
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))))

rewrite28.0ms

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:
9.0ms
(* 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))))

series444.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(* z (- b y))
31.0ms
(+ y (* z (- b y)))
42.0ms
(+ (* x y) (* z (- t a)))
330.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify798.0ms

Counts
99 → 99
Iterations

Useful iterations: 2 (357.0ms)

IterNodesCost
01461497
13621447
213421327
done50011327

prune301.0ms

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)))))

rewrite30.0ms

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)))
4.0ms
(/ 1 (+ y (* z (- b y))))
3.0ms
(+ (* x y) (* z (- t a)))
18.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

series487.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(+ y (* z (- b y)))
84.0ms
(/ 1 (+ y (* z (- b y))))
41.0ms
(+ (* x y) (* z (- t a)))
330.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify801.0ms

Counts
117 → 117
Iterations

Useful iterations: 2 (139.0ms)

IterNodesCost
01491999
14071859
214681635
done50011635

prune319.0ms

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)))
14.0ms
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

series1.3s

Counts
4 → 12
Calls
4 calls:
31.0ms
(+ y (* z (- b y)))
909.0ms
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
42.0ms
(+ (* x y) (* z (- t a)))
341.0ms
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify1.2s

Counts
157 → 157
Iterations

Useful iterations: 2 (228.0ms)

IterNodesCost
02164144
15353926
218943553
done50013553

prune411.0ms

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))))

rewrite71.0ms

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)))
11.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series915.0ms

Counts
4 → 12
Calls
4 calls:
147.0ms
(/ 1 (/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y)))))
351.0ms
(/ 1 (/ 1 (/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))))
54.0ms
(+ (* x y) (* z (- t a)))
362.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify6.0s

Counts
385 → 385
Iterations

Useful iterations: done (6.0s)

IterNodesCost
050513414
1123511898
2396410296
done500110288

prune584.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 18.7b

regimes416.0ms

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

sample612.0ms

Algorithm
intervals
Results
332.0ms8418×body80valid