Details

Time bar (total: 16.1s)

sample61.0ms

Algorithm
intervals
Results
27.0ms341×body80valid

simplify318.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01115
12415
25415
39215
413715
515015
615915
717615
819715
920615
done20615

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.7b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
0.2b
(/ y (* z 3.0))
0.4b
(* (* z 3.0) y)
9.0b
(/ t (* (* z 3.0) y))

rewrite206.0ms

Algorithm
rewrite-expression-head
Rules
30×*-un-lft-identity
25×add-sqr-sqrt
23×add-exp-log add-cube-cbrt associate-+l+ add-cbrt-cube
21×prod-diff
15×times-frac
9×pow1 add-log-exp
7×prod-exp cbrt-unprod
6×associate-/l*
5×cbrt-undiv fma-def div-exp div-inv
4×expm1-log1p-u log1p-expm1-u
3×associate-*r* pow-prod-down
2×frac-2neg frac-add clear-num associate-/r* sum-log distribute-lft-out distribute-lft-out--
1×+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log associate-*l* *-commutative flip-- flip-+ difference-of-squares
Counts
4 → 115
Calls
4 calls:
138.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
9.0ms
(/ y (* z 3.0))
21.0ms
(* (* z 3.0) y)
34.0ms
(/ t (* (* z 3.0) y))

series233.0ms

Counts
4 → 12
Calls
4 calls:
135.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
34.0ms
(/ y (* z 3.0))
25.0ms
(* (* z 3.0) y)
39.0ms
(/ t (* (* z 3.0) y))

simplify1.7s

Counts
127 → 127
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01841873
14921735
220431473
done50001458

prune663.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
2.7b
(* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y))

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log
32×add-cbrt-cube
29×add-sqr-sqrt
22×associate-*r*
21×add-cube-cbrt *-un-lft-identity times-frac
19×cbrt-prod
18×prod-exp cbrt-unprod
13×cbrt-undiv div-exp
6×pow1
5×associate-*l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 unswap-sqr
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 103
Calls
4 calls:
2.0ms
(cbrt t)
2.0ms
(cbrt t)
2.0ms
(cbrt t)
110.0ms
(* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y))

series1.1s

Counts
4 → 12
Calls
4 calls:
328.0ms
(cbrt t)
359.0ms
(cbrt t)
339.0ms
(cbrt t)
103.0ms
(* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y))

simplify2.5s

Counts
115 → 115
Iterations

Useful iterations: done (2.5s)

IterNodesCost
01601527
14621455
224781031
done5000891

prune556.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
0.2b
(/ y (* z 3.0))
0.4b
(/ t (* z 3.0))
4.4b
(/ (/ t (* z 3.0)) y)

rewrite233.0ms

Algorithm
rewrite-expression-head
Rules
48×times-frac
45×*-un-lft-identity
40×add-sqr-sqrt
38×add-cube-cbrt
23×add-exp-log associate-+l+ add-cbrt-cube
21×prod-diff
13×associate-/l*
10×div-inv
9×cbrt-undiv div-exp add-log-exp
5×fma-def associate-/r*
4×pow1 expm1-log1p-u log1p-expm1-u
3×frac-2neg prod-exp clear-num cbrt-unprod
2×frac-add sum-log distribute-lft-out distribute-lft-out--
1×+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log flip-- flip-+ associate-/l/ difference-of-squares
Counts
4 → 143
Calls
4 calls:
158.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
16.0ms
(/ y (* z 3.0))
17.0ms
(/ t (* z 3.0))
32.0ms
(/ (/ t (* z 3.0)) y)

series289.0ms

Counts
4 → 12
Calls
4 calls:
132.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
49.0ms
(/ y (* z 3.0))
43.0ms
(/ t (* z 3.0))
65.0ms
(/ (/ t (* z 3.0)) y)

simplify2.0s

Counts
155 → 155
Iterations

Useful iterations: done (2.0s)

IterNodesCost
02302245
15712093
218411829
done50011813

prune731.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (/ y (* z 3.0))) (/ (* (/ 1 z) (/ t 3.0)) y))
0.2b
(/ y (* z 3.0))
0.3b
(* (/ 1 z) (/ t 3.0))
4.4b
(/ (* (/ 1 z) (/ t 3.0)) y)

rewrite244.0ms

Algorithm
rewrite-expression-head
Rules
63×add-exp-log
55×add-sqr-sqrt
45×*-un-lft-identity
40×times-frac
39×add-cbrt-cube
36×add-cube-cbrt
27×div-exp
23×associate-+l+
21×prod-diff
17×prod-exp
15×cbrt-undiv
13×associate-*r* associate-*l*
9×cbrt-unprod add-log-exp
7×div-inv
6×pow1 unswap-sqr
5×fma-def
4×expm1-log1p-u rec-exp 1-exp associate-/r* log1p-expm1-u associate-/l*
3×associate-/l/
2×frac-times frac-2neg associate-*r/ associate-*l/ frac-add clear-num sum-log distribute-lft-out distribute-lft-out--
1×+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log pow-prod-down *-commutative flip-- flip-+ difference-of-squares
Counts
4 → 164
Calls
4 calls:
137.0ms
(+ (- x (/ y (* z 3.0))) (/ (* (/ 1 z) (/ t 3.0)) y))
12.0ms
(/ y (* z 3.0))
57.0ms
(* (/ 1 z) (/ t 3.0))
22.0ms
(/ (* (/ 1 z) (/ t 3.0)) y)

series240.0ms

Counts
4 → 12
Calls
4 calls:
124.0ms
(+ (- x (/ y (* z 3.0))) (/ (* (/ 1 z) (/ t 3.0)) y))
29.0ms
(/ y (* z 3.0))
43.0ms
(* (/ 1 z) (/ t 3.0))
45.0ms
(/ (* (/ 1 z) (/ t 3.0)) y)

simplify1.9s

Counts
176 → 176
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02782650
17492210
225771844
done50011829

prune786.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

regimes388.0ms

Accuracy

63.7% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 1.8b

bsearch1.0ms

simplify10.0ms

Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
03675
15075
25574
done5574

end0.0ms

sample1.7s

Algorithm
intervals
Results
940.0ms11070×body80valid