Details

Time bar (total: 16.7s)

sample67.0ms

Algorithm
intervals
Results
35.0ms427×body80valid

simplify1.5s

Counts
1 → 1
Iterations

Useful iterations: done (1.5s)

IterNodesCost
018369
137369
293369
3287369
4805369
51885369
done5000329

prune31.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.4b

localize43.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x 9.0) y)
0.3b
(- (/ (+ b (* (* x 9.0) y)) z) (* a (* 4.0 t)))
2.7b
(/ (+ b (* (* x 9.0) y)) z)
11.1b
(/ (- (/ (+ b (* (* x 9.0) y)) z) (* a (* 4.0 t))) c)

rewrite190.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×times-frac
13×add-cbrt-cube add-exp-log
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 clear-num frac-2neg flip3-- div-exp div-inv flip--
1×sub-neg flip3-+ diff-log div-sub associate-*l* *-commutative flip-+
Counts
4 → 89
Calls
4 calls:
16.0ms
(* (* x 9.0) y)
44.0ms
(- (/ (+ b (* (* x 9.0) y)) z) (* a (* 4.0 t)))
18.0ms
(/ (+ b (* (* x 9.0) y)) z)
110.0ms
(/ (- (/ (+ b (* (* x 9.0) y)) z) (* a (* 4.0 t))) c)

series517.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (* x 9.0) y)
183.0ms
(- (/ (+ b (* (* x 9.0) y)) z) (* a (* 4.0 t)))
88.0ms
(/ (+ b (* (* x 9.0) y)) z)
221.0ms
(/ (- (/ (+ b (* (* x 9.0) y)) z) (* a (* 4.0 t))) c)

simplify1.8s

Counts
101 → 101
Iterations

Useful iterations: done (1.8s)

IterNodesCost
018233137
145731969
2227731729
done500231649

prune781.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 6.2b

localize37.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (/ (* x y) (* z c)))
4.5b
(/ (* t a) c)
5.6b
(/ b (* z c))
11.4b
(/ (* x y) (* z c))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
44×add-cbrt-cube add-exp-log
15×prod-exp cbrt-unprod
12×add-sqr-sqrt cbrt-undiv div-exp
10×*-un-lft-identity add-cube-cbrt
8×times-frac
6×pow1
5×associate-/r* associate-*r* associate-/l*
4×div-inv add-log-exp
3×clear-num frac-2neg associate-*l*
1×pow-prod-down associate-*r/ *-commutative unswap-sqr
Counts
4 → 92
Calls
4 calls:
27.0ms
(* 9.0 (/ (* x y) (* z c)))
8.0ms
(/ (* t a) c)
6.0ms
(/ b (* z c))
10.0ms
(/ (* x y) (* z c))

series175.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(* 9.0 (/ (* x y) (* z c)))
32.0ms
(/ (* t a) c)
29.0ms
(/ b (* z c))
48.0ms
(/ (* x y) (* z c))

simplify1.4s

Counts
104 → 104
Iterations

Useful iterations: done (1.4s)

IterNodesCost
016020991
143118978
2245717338
done500016818

prune711.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize80.0ms

Local error

Found 4 expressions with local error:

4.5b
(/ (* t a) c)
4.8b
(/ x (/ (* z c) y))
5.6b
(/ b (* z c))
5.6b
(/ (* z c) y)

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
42×times-frac
28×add-cbrt-cube add-exp-log
26×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
14×associate-/r*
11×cbrt-undiv div-exp
8×div-inv associate-/l*
4×pow1 clear-num frac-2neg prod-exp cbrt-unprod add-log-exp
1×associate-/r/
Counts
4 → 111
Calls
4 calls:
9.0ms
(/ (* t a) c)
17.0ms
(/ x (/ (* z c) y))
12.0ms
(/ b (* z c))
15.0ms
(/ (* z c) y)

series114.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(/ (* t a) c)
36.0ms
(/ x (/ (* z c) y))
33.0ms
(/ b (* z c))
23.0ms
(/ (* z c) y)

simplify1.3s

Counts
123 → 123
Iterations

Useful iterations: done (1.3s)

IterNodesCost
019824309
150322729
2262022046
done500021526

prune1.0s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize69.0ms

Local error

Found 4 expressions with local error:

4.4b
(/ c (* t a))
4.8b
(/ x (/ (* z c) y))
5.6b
(/ b (* z c))
5.6b
(/ (* z c) y)

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
42×times-frac
28×add-cbrt-cube add-exp-log
26×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
12×associate-/r*
11×cbrt-undiv div-exp
10×associate-/l*
8×div-inv
4×pow1 clear-num frac-2neg prod-exp cbrt-unprod add-log-exp
1×associate-/r/
Counts
4 → 111
Calls
4 calls:
6.0ms
(/ c (* t a))
8.0ms
(/ x (/ (* z c) y))
6.0ms
(/ b (* z c))
8.0ms
(/ (* z c) y)

series125.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(/ c (* t a))
43.0ms
(/ x (/ (* z c) y))
22.0ms
(/ b (* z c))
26.0ms
(/ (* z c) y)

simplify1.4s

Counts
123 → 123
Iterations

Useful iterations: done (1.4s)

IterNodesCost
019724310
148522812
2244122009
done500021489

prune974.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

regimes1.9s

Accuracy

36.7% (6.3b remaining)

Error of 6.4b against oracle of 0.1b and baseline of 10.0b

bsearch3.0ms

simplify22.0ms

Iterations

Useful iterations: 0 (13.0ms)

IterNodesCost
0632174
1872174
done872174

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.7s12813×body80valid