Details

Time bar (total: 14.7s)

sample66.0ms

Algorithm
intervals
Results
35.0ms411×body80valid

simplify1.4s

Counts
1 → 1
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01819
13719
29319
328419
479719
5184219
done500017

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.7b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x 9.0) y)
0.3b
(- (/ (+ (* (* x 9.0) y) b) z) (* (* a 4.0) t))
1.8b
(/ (+ (* (* x 9.0) y) b) z)
11.5b
(/ (- (/ (+ (* (* x 9.0) y) b) z) (* (* a 4.0) t)) c)

rewrite465.0ms

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:
18.0ms
(* (* x 9.0) y)
138.0ms
(- (/ (+ (* (* x 9.0) y) b) z) (* (* a 4.0) t))
48.0ms
(/ (+ (* (* x 9.0) y) b) z)
258.0ms
(/ (- (/ (+ (* (* x 9.0) y) b) z) (* (* a 4.0) t)) c)

series471.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* (* x 9.0) y)
206.0ms
(- (/ (+ (* (* x 9.0) y) b) z) (* (* a 4.0) t))
74.0ms
(/ (+ (* (* x 9.0) y) b) z)
163.0ms
(/ (- (/ (+ (* (* x 9.0) y) b) z) (* (* a 4.0) t)) c)

simplify1.1s

Counts
101 → 101
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01821845
14581789
222411649
done50001647

prune383.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 6.4b

localize31.0ms

Local error

Found 4 expressions with local error:

0.3b
(* 9.0 (/ (* x y) (* z c)))
4.9b
(/ b (* z c))
5.7b
(/ (* t a) c)
8.9b
(/ (* x y) (* z c))

rewrite88.0ms

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:
40.0ms
(* 9.0 (/ (* x y) (* z c)))
21.0ms
(/ b (* z c))
10.0ms
(/ (* t a) c)
14.0ms
(/ (* x y) (* z c))

series147.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(* 9.0 (/ (* x y) (* z c)))
36.0ms
(/ b (* z c))
25.0ms
(/ (* t a) c)
31.0ms
(/ (* x y) (* z c))

simplify1.3s

Counts
104 → 104
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01601082
14311049
22449827
done5000815

prune387.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.3b

localize36.0ms

Local error

Found 4 expressions with local error:

0.3b
(* 9.0 (/ (* x y) (* z c)))
4.8b
(/ t (/ c a))
4.9b
(/ b (* z c))
8.9b
(/ (* x y) (* z c))

rewrite95.0ms

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:
40.0ms
(* 9.0 (/ (* x y) (* z c)))
13.0ms
(/ t (/ c a))
11.0ms
(/ b (* z c))
20.0ms
(/ (* x y) (* z c))

series154.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(* 9.0 (/ (* x y) (* z c)))
28.0ms
(/ t (/ c a))
26.0ms
(/ b (* z c))
42.0ms
(/ (* x y) (* z c))

simplify1.4s

Counts
153 → 153
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02601776
16861699
234941449
done50011435

prune615.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

4.8b
(/ (* z c) y)
4.8b
(/ t (/ c a))
4.9b
(/ b (* z c))
6.3b
(/ x (/ (* z c) y))

rewrite59.0ms

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:
10.0ms
(/ (* z c) y)
9.0ms
(/ t (/ c a))
16.0ms
(/ b (* z c))
18.0ms
(/ x (/ (* z c) y))

series111.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(/ (* z c) y)
23.0ms
(/ t (/ c a))
29.0ms
(/ b (* z c))
38.0ms
(/ x (/ (* z c) y))

simplify1.5s

Counts
172 → 172
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02971889
17541806
236871656
done50021638

prune868.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

regimes1.7s

Accuracy

55.7% (4.3b remaining)

Error of 4.3b against oracle of 0.0b and baseline of 9.7b

bsearch3.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
058226
178226
done78226

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.3s12695×body80valid