Details

sample44.0ms

Algorithm

intervals

Results

19.0ms

266×

body

valid

simplify3.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	33
1	41	33
2	88	33
3	254	33
4	623	33
5	1355	33
6	1672	33
7	1766	33
8	2056	33
9	2982	33
done	5001	33

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.1b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* x y) z) y)
0.1b	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
27.5b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite271.0ms

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:

27.0ms	(* (+ (* x y) z) y)
68.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
50.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
123.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series525.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (+ (* x y) z) y)
74.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
58.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
358.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify886.0ms

Counts

103 → 103

Iterations

Useful iterations: done (882.0ms)

Iter	Nodes	Cost
0	194	2565
1	504	2499
2	1820	2283
done	5000	2279

prune462.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 27.2b

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.6b	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
27.3b	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

rewrite442.0ms

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:

70.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
51.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
61.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
255.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

series554.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
55.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
63.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
364.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

simplify910.0ms

Counts

127 → 127

Iterations

Useful iterations: done (906.0ms)

Iter	Nodes	Cost
0	208	3519
1	551	3333
2	1972	2985
done	5001	2981

prune508.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 27.2b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.3b	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
27.5b	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

rewrite368.0ms

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:

71.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
52.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
112.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
126.0ms	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

series1.1s

Counts

4 → 12

Calls

4 calls:

76.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
56.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
465.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
539.0ms	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

simplify957.0ms

Counts

167 → 167

Iterations

Useful iterations: done (950.0ms)

Iter	Nodes	Cost
0	276	7304
1	668	7058
2	2070	6523
done	5001	6493

prune585.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 27.2b

localize30.0ms

Local error

Found 4 expressions with local error:

21.6b	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
21.6b	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
21.6b	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
27.3b	(* (+ (* (+ (* (* (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

rewrite1.1s

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:

19.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
19.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
19.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
1.0s	(* (+ (* (+ (* (* (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

series1.3s

Counts

4 → 12

Calls

4 calls:

196.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
197.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
196.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
688.0ms	(* (+ (* (+ (* (* (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

simplify670.0ms

Counts

87 → 87

Iterations

Useful iterations: done (666.0ms)

Iter	Nodes	Cost
0	199	4322
1	521	4209
2	1590	2554
done	5001	2339

prune455.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 27.2b

regimes599.0ms

Accuracy

0% (1.3b remaining)

Error of 29.5b against oracle of 28.2b and baseline of 29.5b

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	35
1	45	35
done	45	35

end0.0ms

sample1.0s

Algorithm

intervals

Results

497.0ms

8233×

body

valid