Details

Time bar (total: 16.0s)

sample40.0ms

Algorithm
intervals
Results
21.0ms264×body80valid

simplify3.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02633
14133
28833
318233
441233
586433
6121033
7134433
8182233
9336733
done500033

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.8b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* x y) z) y)
0.1b
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
28.1b
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
18×add-cube-cbrt *-un-lft-identity
12×add-exp-log add-cbrt-cube
10×pow1
9×times-frac associate-*r* associate-*l*
6×associate-*l/
5×flip3-+ flip-+
4×add-log-exp
3×pow-prod-down prod-exp associate-/r* *-commutative cbrt-unprod associate-/l* unswap-sqr
2×associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 91
Calls
4 calls:
11.0ms
(* (+ (* x y) z) y)
23.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
31.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
51.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series484.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(* (+ (* x y) z) y)
55.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
69.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
328.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify702.0ms

Counts
103 → 103
Iterations

Useful iterations: 2 (154.0ms)

IterNodesCost
01942565
15102499
220122283
done50002283

prune472.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 27.8b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.2b
(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
28.1b
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

rewrite192.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
25×*-un-lft-identity
24×add-cube-cbrt
21×add-exp-log associate-*r*
20×times-frac
15×add-cbrt-cube
11×pow1
9×associate-*l*
6×flip3-+ associate-*l/ prod-exp flip-+
5×unswap-sqr
4×div-exp associate-/r/ cbrt-unprod add-log-exp
3×pow-prod-down associate-/r* *-commutative associate-/l*
2×cbrt-undiv frac-times rec-exp 1-exp div-inv
1×pow-flip frac-2neg associate-*r/ clear-num un-div-inv inv-pow
Counts
4 → 115
Calls
4 calls:
21.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
32.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
28.0ms
(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
108.0ms
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

series511.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
70.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
53.0ms
(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
333.0ms
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

simplify913.0ms

Counts
127 → 127
Iterations

Useful iterations: 2 (187.0ms)

IterNodesCost
02083519
15673361
223342985
done50002985

prune515.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 27.8b

localize30.0ms

Local error

Found 4 expressions with local error:

20.6b
(cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))
20.6b
(cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))
20.6b
(cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))
28.1b
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (* (cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y)) (cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))) (cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))) i)))

rewrite430.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
15×associate-*r*
13×add-exp-log *-un-lft-identity
12×add-cube-cbrt
11×times-frac
9×add-cbrt-cube
8×associate-*l/
6×pow1 cbrt-div flip3-+ flip-+
4×prod-exp add-log-exp
3×cbrt-prod pow1/3 associate-*l* unswap-sqr
2×frac-times div-exp associate-/r/ cbrt-unprod
1×cbrt-undiv rec-exp 1-exp associate-*r/ pow-prod-down un-div-inv *-commutative div-inv
Counts
4 → 75
Calls
4 calls:
13.0ms
(cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))
11.0ms
(cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))
12.0ms
(cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))
391.0ms
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (* (cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y)) (cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))) (cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))) i)))

series1.1s

Counts
4 → 12
Calls
4 calls:
215.0ms
(cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))
210.0ms
(cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))
210.0ms
(cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))
501.0ms
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (* (cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y)) (cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))) (cbrt (* (+ (* (+ (* (+ y a) y) b) y) c) y))) i)))

simplify940.0ms

Counts
87 → 87
Iterations

Useful iterations: done (937.0ms)

IterNodesCost
01684299
14514210
215762362
done50022324

prune476.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 27.8b

localize32.0ms

Local error

Found 4 expressions with local error:

3.0b
(cbrt (/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ i (* y (+ (* (+ (* (+ y a) y) b) y) c)))))
28.1b
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ i (* y (+ (* (+ (* (+ y a) y) b) y) c))))
28.1b
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ i (* y (+ (* (+ (* (+ y a) y) b) y) c))))
28.1b
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ i (* y (+ (* (+ (* (+ y a) y) b) y) c))))

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
35×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
15×cbrt-prod
10×add-exp-log add-cbrt-cube
9×associate-/r* associate-/l*
8×associate-/r/
7×flip3-+ flip-+
6×associate-/l/
4×pow1 div-inv add-log-exp
3×cbrt-undiv frac-2neg div-exp clear-num
1×cbrt-div pow1/3
Counts
4 → 117
Calls
4 calls:
9.0ms
(cbrt (/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ i (* y (+ (* (+ (* (+ y a) y) b) y) c)))))
36.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ i (* y (+ (* (+ (* (+ y a) y) b) y) c))))
34.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ i (* y (+ (* (+ (* (+ y a) y) b) y) c))))
34.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ i (* y (+ (* (+ (* (+ y a) y) b) y) c))))

series1.6s

Counts
4 → 12
Calls
4 calls:
604.0ms
(cbrt (/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ i (* y (+ (* (+ (* (+ y a) y) b) y) c)))))
329.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ i (* y (+ (* (+ (* (+ y a) y) b) y) c))))
331.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ i (* y (+ (* (+ (* (+ y a) y) b) y) c))))
327.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ i (* y (+ (* (+ (* (+ y a) y) b) y) c))))

simplify1.2s

Counts
129 → 129
Iterations

Useful iterations: 3 (329.0ms)

IterNodesCost
01406236
12996181
28895717
335675667
done50005667

prune723.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 27.8b

regimes590.0ms

Accuracy

0% (1.0b remaining)

Error of 29.3b against oracle of 28.2b and baseline of 29.3b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02633
14133
done4133

end0.0ms

sample932.0ms

Algorithm
intervals
Results
571.0ms8238×body80valid