Details

Time bar (total: 16.5s)

sample83.0ms

Algorithm
intervals
Results
57.0ms397×body80valid

simplify1.3s

Counts
1 → 1
Iterations
IterNodes
done5000
51885
4805
3287
293
137
018

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.1b

localize38.0ms

Local error

Found 4 expressions with local error:

0.5b
(- (/ (+ (* (* x 9.0) y) b) z) (* (* 4.0 a) t))
0.5b
(* (* x 9.0) y)
2.4b
(/ (+ (* (* x 9.0) y) b) z)
9.9b
(/ (- (/ (+ (* (* x 9.0) y) b) z) (* (* 4.0 a) t)) c)

rewrite428.0ms

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×insert-posit16 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 → 93
Calls
4 calls:
117.0ms
(- (/ (+ (* (* x 9.0) y) b) z) (* (* 4.0 a) t))
14.0ms
(* (* x 9.0) y)
44.0ms
(/ (+ (* (* x 9.0) y) b) z)
251.0ms
(/ (- (/ (+ (* (* x 9.0) y) b) z) (* (* 4.0 a) t)) c)

series528.0ms

Counts
4 → 12
Calls
4 calls:
212.0ms
(- (/ (+ (* (* x 9.0) y) b) z) (* (* 4.0 a) t))
29.0ms
(* (* x 9.0) y)
90.0ms
(/ (+ (* (* x 9.0) y) b) z)
196.0ms
(/ (- (/ (+ (* (* x 9.0) y) b) z) (* (* 4.0 a) t)) c)

simplify1.3s

Counts
105 → 105
Iterations
IterNodes
done5000
22386
1463
0186

prune785.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 6.7b

localize46.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (/ (* x y) (* z c)))
4.9b
(/ (* t a) c)
5.3b
(/ b (* z c))
9.4b
(/ (* x y) (* z c))

rewrite55.0ms

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×insert-posit16 div-inv add-log-exp
3×clear-num frac-2neg associate-*l*
1×pow-prod-down associate-*r/ *-commutative unswap-sqr
Counts
4 → 96
Calls
4 calls:
20.0ms
(* 9.0 (/ (* x y) (* z c)))
8.0ms
(/ (* t a) c)
6.0ms
(/ b (* z c))
20.0ms
(/ (* x y) (* z c))

series124.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(* 9.0 (/ (* x y) (* z c)))
21.0ms
(/ (* t a) c)
22.0ms
(/ b (* z c))
36.0ms
(/ (* x y) (* z c))

simplify1.4s

Counts
108 → 108
Iterations
IterNodes
done5000
22430
1435
0164

prune635.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.5b

localize41.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt c)
3.7b
(* (/ t (* (cbrt c) (cbrt c))) (/ a (cbrt c)))
5.3b
(/ b (* z c))
9.4b
(/ (* x y) (* z c))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
42×add-exp-log
38×add-sqr-sqrt
35×add-cbrt-cube
32×times-frac
22×*-un-lft-identity associate-*r* add-cube-cbrt
14×cbrt-prod
13×cbrt-undiv div-exp prod-exp cbrt-unprod
7×associate-*l*
6×pow1 unswap-sqr
4×insert-posit16 div-inv associate-/l* add-log-exp
2×clear-num associate-/r* frac-2neg
1×frac-times pow1/3 pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 116
Calls
4 calls:
1.0ms
(cbrt c)
33.0ms
(* (/ t (* (cbrt c) (cbrt c))) (/ a (cbrt c)))
6.0ms
(/ b (* z c))
11.0ms
(/ (* x y) (* z c))

series399.0ms

Counts
4 → 12
Calls
4 calls:
258.0ms
(cbrt c)
67.0ms
(* (/ t (* (cbrt c) (cbrt c))) (/ a (cbrt c)))
30.0ms
(/ b (* z c))
44.0ms
(/ (* x y) (* z c))

simplify1.5s

Counts
128 → 128
Iterations
IterNodes
done5001
24144
1670
0225

prune853.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

4.9b
(/ (* t a) c)
5.3b
(/ b (* z c))
5.5b
(/ (* z c) y)
6.8b
(/ x (/ (* z c) y))

rewrite47.0ms

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 insert-posit16 add-log-exp
1×associate-/r/
Counts
4 → 115
Calls
4 calls:
13.0ms
(/ (* t a) c)
9.0ms
(/ b (* z c))
13.0ms
(/ (* z c) y)
11.0ms
(/ x (/ (* z c) y))

series141.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(/ (* t a) c)
30.0ms
(/ b (* z c))
31.0ms
(/ (* z c) y)
53.0ms
(/ x (/ (* z c) y))

simplify982.0ms

Counts
127 → 127
Iterations
IterNodes
done5001
22641
1506
0202

prune810.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.0b

regimes1.8s

Accuracy

45.7% (6.0b remaining)

Error of 6.0b against oracle of 0.0b and baseline of 11.0b

bsearch3.0ms

simplify15.0ms

Iterations
IterNodes
done78
178
057

end0.0ms

sample3.0s

Algorithm
intervals
Results
2.0s12750×body80valid