Details

sample48.0ms

Algorithm

intervals

Results

21.0ms

259×

body

valid

simplify4.2s

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.7b

localize35.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(* (+ (* x y) z) y)
0.1b	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
26.0b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite640.0ms

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:

79.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
42.0ms	(* (+ (* x y) z) y)
98.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
418.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series595.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
40.0ms	(* (+ (* x y) z) y)
76.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
422.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify1.1s

Counts

103 → 103

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	194	2565
1	504	2499
2	1824	2283
done	5001	2279

prune626.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 25.7b

localize47.0ms

Local error

Found 4 expressions with local error:

19.7b	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
19.7b	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
19.7b	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
26.0b	(/ (+ (* (+ (* (* (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) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite528.0ms

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:

26.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
23.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
26.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
449.0ms	(/ (+ (* (+ (* (* (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) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series1.4s

Counts

4 → 12

Calls

4 calls:

270.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
226.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
221.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
641.0ms	(/ (+ (* (+ (* (* (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) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify2.5s

Counts

76 → 76

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	167	3716
1	403	3693
2	1148	2370
3	4372	2176
done	5001	2128

prune753.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 25.7b

localize53.0ms

Local error

Found 4 expressions with local error:

19.7b	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
19.7b	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
19.7b	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
25.8b	(* (+ (* (+ (* (* (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)))

rewrite1.5s

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:

22.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
20.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
23.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
1.4s	(* (+ (* (+ (* (* (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)))

series1.6s

Counts

4 → 12

Calls

4 calls:

263.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
353.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
340.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
627.0ms	(* (+ (* (+ (* (* (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)))

simplify984.0ms

Counts

87 → 87

Iterations

Useful iterations: done (980.0ms)

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

prune876.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 25.7b

localize64.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* x y) z) y)
0.1b	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.4b	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
26.0b	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

rewrite485.0ms

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:

39.0ms	(* (+ (* x y) z) y)
93.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
164.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
176.0ms	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

series1.7s

Counts

4 → 12

Calls

4 calls:

54.0ms	(* (+ (* x y) z) y)
118.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
707.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
789.0ms	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

simplify1.5s

Counts

167 → 167

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	275	7202
1	666	6956
2	2035	6431
done	5002	6405

prune956.0ms

Pruning

14 alts after pruning (11 fresh and 3 done)

Merged error: 25.7b

regimes1.2s

Accuracy

0% (1.1b remaining)

Error of 28.9b against oracle of 27.8b and baseline of 28.9b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	60
1	45	60
done	45	60

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.9s

8211×

body

valid