Details

sample51.0ms

Algorithm

intervals

Results

24.0ms

266×

body

valid

simplify2.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	33
1	41	33
2	88	33
3	264	33
4	824	33
5	2916	33
done	5001	33

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
0.1b	(* (+ (* (+ y a) y) b) y)
0.1b	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
29.4b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite470.0ms

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:

143.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
75.0ms	(* (+ (* (+ y a) y) b) y)
97.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
150.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series919.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
55.0ms	(* (+ (* (+ y a) y) b) y)
108.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
609.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify2.1s

Counts

103 → 103

Iterations

Useful iterations: 2 (520.0ms)

Iter	Nodes	Cost
0	196	2727
1	523	2657
2	2816	2425
done	5000	2425

prune843.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 29.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ y a) y) b) y)
0.1b	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.3b	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
29.4b	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

rewrite556.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
64×	`add-sqr-sqrt`
60×	`add-cube-cbrt` `*-un-lft-identity`
21×	`add-exp-log`
18×	`associate-/r*`
15×	`add-cbrt-cube`
11×	`associate-/r/`
9×	`pow1`
8×	`flip3-+` `div-exp` `flip-+`
6×	`associate-r` `associate-l` `div-inv` `associate-/l*`
4×	`cbrt-undiv` `associate-*l/` `add-log-exp`
2×	`rec-exp` `frac-2neg` `1-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `associate-/l/` `unswap-sqr`
1×	`pow-flip` `inv-pow`

Counts

4 → 155

Calls

4 calls:

64.0ms	(* (+ (* (+ y a) y) b) y)
107.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
147.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
223.0ms	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

series1.6s

Counts

4 → 12

Calls

4 calls:

67.0ms	(* (+ (* (+ y a) y) b) y)
129.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
636.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
807.0ms	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

simplify2.3s

Counts

167 → 167

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	275	7254
1	739	6990
2	4076	6537
done	5000	6529

prune951.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 29.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ y a) y) b) y)
0.1b	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.3b	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
29.1b	(* (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

rewrite665.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
24×	`add-cube-cbrt`
21×	`add-exp-log` `associate-l`
20×	`times-frac`
15×	`add-cbrt-cube`
11×	`pow1`
9×	`associate-r`
6×	`flip3-+` `prod-exp` `flip-+`
5×	`associate-*l/` `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` `associate-*r/` `div-inv`
1×	`distribute-rgt-in` `pow-flip` `frac-2neg` `distribute-lft-in` `clear-num` `inv-pow`

Counts

4 → 116

Calls

4 calls:

62.0ms	(* (+ (* (+ y a) y) b) y)
92.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
93.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
413.0ms	(* (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

series887.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* (+ (* (+ y a) y) b) y)
133.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
82.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
621.0ms	(* (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

simplify520.0ms

Counts

128 → 128

Iterations

Useful iterations: done (514.0ms)

Iter	Nodes	Cost
0	216	3579
1	697	3448
done	5001	3064

prune761.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 29.0b

localize66.0ms

Local error

Found 4 expressions with local error:

27.0b	(cbrt (* (+ (* (+ y a) y) b) y))
27.0b	(cbrt (* (+ (* (+ y a) y) b) y))
27.0b	(cbrt (* (+ (* (+ y a) y) b) y))
29.4b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (cbrt (* (+ (* (+ y a) y) b) y)) (cbrt (* (+ (* (+ y a) y) b) y))) (cbrt (* (+ (* (+ y a) y) b) y))) c) y) i))

rewrite547.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
6×	`add-exp-log` `cbrt-div` `associate-*l/` `add-cbrt-cube`
5×	`flip3-+` `flip-+`
4×	`pow1` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-/r` `associate-/l`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 64

Calls

4 calls:

24.0ms	(cbrt (* (+ (* (+ y a) y) b) y))
15.0ms	(cbrt (* (+ (* (+ y a) y) b) y))
22.0ms	(cbrt (* (+ (* (+ y a) y) b) y))
482.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (cbrt (* (+ (* (+ y a) y) b) y)) (cbrt (* (+ (* (+ y a) y) b) y))) (cbrt (* (+ (* (+ y a) y) b) y))) c) y) i))

series1.2s

Counts

4 → 12

Calls

4 calls:

157.0ms	(cbrt (* (+ (* (+ y a) y) b) y))
136.0ms	(cbrt (* (+ (* (+ y a) y) b) y))
136.0ms	(cbrt (* (+ (* (+ y a) y) b) y))
737.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (cbrt (* (+ (* (+ y a) y) b) y)) (cbrt (* (+ (* (+ y a) y) b) y))) (cbrt (* (+ (* (+ y a) y) b) y))) c) y) i))

simplify751.0ms

Counts

76 → 76

Iterations

Useful iterations: done (746.0ms)

Iter	Nodes	Cost
0	126	3247
1	308	3227
2	1056	2105
done	5000	1939

prune599.0ms

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 29.0b

regimes1.0s

Accuracy

0% (1.1b remaining)

Error of 28.8b against oracle of 27.6b and baseline of 28.8b

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	35
1	46	35
done	46	35

end0.0ms

sample2.8s

Algorithm

intervals

Results

2.0s

8258×

body

valid