Details

Time bar (total: 15.6s)

sample106.0ms

Algorithm
intervals
Results
71.0ms425×body80valid

simplify1.4s

Counts
1 → 1
Iterations
IterNodes
done5031
51657
4709
3282
293
137
018

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.2b
(* a (* 4.0 t))
0.3b
(* 9.0 (* y x))
4.4b
(/ (+ (* 9.0 (* y x)) b) z)
9.4b
(/ (- (/ (+ (* 9.0 (* y x)) b) z) (* a (* 4.0 t))) c)

rewrite293.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×times-frac add-cbrt-cube add-exp-log
14×pow1
associate-/r* associate-*l* pow-prod-down prod-exp cbrt-unprod associate-/l*
insert-posit16 add-log-exp associate-/l/
cbrt-undiv clear-num frac-2neg div-exp associate-*r* *-commutative div-inv
flip3-+ flip3-- div-sub flip-+ flip--
Counts
4 → 99
Calls
4 calls:
15.0ms
(* a (* 4.0 t))
15.0ms
(* 9.0 (* y x))
38.0ms
(/ (+ (* 9.0 (* y x)) b) z)
223.0ms
(/ (- (/ (+ (* 9.0 (* y x)) b) z) (* a (* 4.0 t))) c)

series318.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* a (* 4.0 t))
24.0ms
(* 9.0 (* y x))
80.0ms
(/ (+ (* 9.0 (* y x)) b) z)
185.0ms
(/ (- (/ (+ (* 9.0 (* y x)) b) z) (* a (* 4.0 t))) c)

simplify1.4s

Counts
111 → 111
Iterations
IterNodes
done5027
21728
1481
0203

prune811.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 7.8b

localize41.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (/ (* x y) (* z c)))
4.9b
(/ b (* z c))
6.7b
(/ (* t a) c)
11.9b
(/ (* x y) (* z c))

rewrite84.0ms

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
times-frac
pow1
associate-/r* associate-*r* associate-/l*
insert-posit16 div-inv add-log-exp
clear-num frac-2neg associate-*l*
pow-prod-down associate-*r/ *-commutative unswap-sqr
Counts
4 → 96
Calls
4 calls:
33.0ms
(* 9.0 (/ (* x y) (* z c)))
20.0ms
(/ b (* z c))
12.0ms
(/ (* t a) c)
18.0ms
(/ (* x y) (* z c))

series138.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(* 9.0 (/ (* x y) (* z c)))
28.0ms
(/ b (* z c))
24.0ms
(/ (* t a) c)
40.0ms
(/ (* x y) (* z c))

simplify1.2s

Counts
108 → 108
Iterations
IterNodes
done5000
21995
1428
0164

prune657.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.5b

localize39.0ms

Local error

Found 4 expressions with local error:

4.4b
(/ (* z c) y)
4.9b
(/ b (* z c))
6.4b
(/ x (/ (* z c) y))
6.7b
(/ (* t a) c)

rewrite44.0ms

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
div-inv associate-/l*
pow1 clear-num frac-2neg prod-exp cbrt-unprod insert-posit16 add-log-exp
associate-/r/
Counts
4 → 115
Calls
4 calls:
15.0ms
(/ (* z c) y)
7.0ms
(/ b (* z c))
9.0ms
(/ x (/ (* z c) y))
11.0ms
(/ (* t a) c)

series125.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(/ (* z c) y)
29.0ms
(/ b (* z c))
46.0ms
(/ x (/ (* z c) y))
24.0ms
(/ (* t a) c)

simplify1.0s

Counts
127 → 127
Iterations
IterNodes
done5041
22024
1503
0202

prune980.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

4.4b
(/ (* z c) y)
4.9b
(/ b (* z c))
5.2b
(/ t (/ c a))
6.4b
(/ x (/ (* z c) y))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
66×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
28×add-cbrt-cube add-exp-log
24×associate-/r*
12×cbrt-undiv div-exp div-inv
10×associate-/l*
pow1 clear-num frac-2neg insert-posit16 add-log-exp
prod-exp cbrt-unprod
associate-/r/
Counts
4 → 164
Calls
4 calls:
15.0ms
(/ (* z c) y)
7.0ms
(/ b (* z c))
6.0ms
(/ t (/ c a))
8.0ms
(/ x (/ (* z c) y))

series121.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(/ (* z c) y)
27.0ms
(/ b (* z c))
30.0ms
(/ t (/ c a))
42.0ms
(/ x (/ (* z c) y))

simplify1.1s

Counts
176 → 176
Iterations
IterNodes
done5001
22680
1750
0301

prune1.2s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

regimes1.5s

Accuracy

72.4% (2.7b remaining)

Error of 2.7b against oracle of 0.1b and baseline of 9.7b

bsearch3.0ms

simplify29.0ms

Iterations
IterNodes
done81
181
060

end0.0ms

sample2.9s

Algorithm
intervals
Results
2.3s13073×body80valid