Details

Time bar (total: 19.0s)

sample69.0ms

Algorithm
intervals
Results
44.0ms422×body80valid

simplify5.3s

Counts
1 → 1
Iterations

Useful iterations: 6 (3.5s)

IterNodesCost
01819
13719
29319
328219
468419
5153319
6341217
done500117

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.5b

localize39.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x 9.0) y)
0.8b
(- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t))
2.3b
(/ (+ b (* (* x 9.0) y)) z)
10.5b
(/ (- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t)) c)

rewrite347.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×times-frac
13×add-exp-log add-cbrt-cube
9×pow1
6×associate-/r* associate-/l* add-log-exp
4×associate-/l/
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-- div-inv
1×sub-neg flip3-+ diff-log div-sub associate-*l* *-commutative flip-+
Counts
4 → 89
Calls
4 calls:
37.0ms
(* (* x 9.0) y)
94.0ms
(- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t))
25.0ms
(/ (+ b (* (* x 9.0) y)) z)
186.0ms
(/ (- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t)) c)

series546.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* (* x 9.0) y)
227.0ms
(- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t))
90.0ms
(/ (+ b (* (* x 9.0) y)) z)
201.0ms
(/ (- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t)) c)

simplify1.6s

Counts
101 → 101
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01821845
14441785
215781639
done50001631

prune882.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 5.9b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (/ (* x y) (* z c)))
4.7b
(/ b (* z c))
6.0b
(/ (* t a) c)
9.3b
(/ (* x y) (* z c))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
44×add-exp-log add-cbrt-cube
15×prod-exp cbrt-unprod
12×cbrt-undiv add-sqr-sqrt div-exp
10×add-cube-cbrt *-un-lft-identity
8×times-frac
6×pow1
5×associate-*r* associate-/r* associate-/l*
4×div-inv add-log-exp
3×frac-2neg associate-*l* clear-num
1×associate-*r/ pow-prod-down *-commutative unswap-sqr
Counts
4 → 92
Calls
4 calls:
36.0ms
(* 9.0 (/ (* x y) (* z c)))
8.0ms
(/ b (* z c))
10.0ms
(/ (* t a) c)
14.0ms
(/ (* x y) (* z c))

series148.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(* 9.0 (/ (* x y) (* z c)))
26.0ms
(/ b (* z c))
33.0ms
(/ (* t a) c)
36.0ms
(/ (* x y) (* z c))

simplify1.1s

Counts
104 → 104
Iterations

Useful iterations: 2 (289.0ms)

IterNodesCost
01601082
14021049
21858811
done5000811

prune406.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 0.3b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (/ (* x y) (* z c)))
4.7b
(/ b (* z c))
6.5b
(/ t (/ c a))
9.3b
(/ (* x y) (* z c))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
80×times-frac
52×add-sqr-sqrt
50×add-cube-cbrt *-un-lft-identity
44×add-exp-log add-cbrt-cube
15×associate-/r*
14×prod-exp cbrt-unprod
13×cbrt-undiv div-exp
8×div-inv
7×associate-/l*
6×pow1
5×associate-*r*
4×add-log-exp
3×frac-2neg associate-*l* clear-num
1×associate-*r/ pow-prod-down associate-/r/ *-commutative unswap-sqr
Counts
4 → 141
Calls
4 calls:
38.0ms
(* 9.0 (/ (* x y) (* z c)))
16.0ms
(/ b (* z c))
10.0ms
(/ t (/ c a))
14.0ms
(/ (* x y) (* z c))

series162.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(* 9.0 (/ (* x y) (* z c)))
37.0ms
(/ b (* z c))
35.0ms
(/ t (/ c a))
37.0ms
(/ (* x y) (* z c))

simplify1.5s

Counts
153 → 153
Iterations

Useful iterations: 2 (427.0ms)

IterNodesCost
02601776
16031683
224081435
done50001435

prune747.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

4.3b
(/ (* z c) y)
4.7b
(/ b (* z c))
5.9b
(/ x (/ (* z c) y))
6.5b
(/ t (/ c a))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
66×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
28×add-exp-log add-cbrt-cube
24×associate-/r*
12×cbrt-undiv div-exp div-inv
10×associate-/l*
4×pow1 frac-2neg clear-num add-log-exp
3×prod-exp cbrt-unprod
2×associate-/r/
Counts
4 → 160
Calls
4 calls:
20.0ms
(/ (* z c) y)
16.0ms
(/ b (* z c))
18.0ms
(/ x (/ (* z c) y))
10.0ms
(/ t (/ c a))

series160.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(/ (* z c) y)
28.0ms
(/ b (* z c))
61.0ms
(/ x (/ (* z c) y))
46.0ms
(/ t (/ c a))

simplify1.5s

Counts
172 → 172
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02971889
16431786
221941628
done50011620

prune917.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

regimes386.0ms

Accuracy

7.8% (9.2b remaining)

Error of 9.3b against oracle of 0.1b and baseline of 10.1b

bsearch2.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04477
16077
done6077

end0.0ms

sample2.9s

Algorithm
intervals
Results
2.1s12826×body80valid