Details

sample53.0ms

Algorithm

intervals

Results

21.0ms

268×

body

valid

simplify111.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	41	16
1	88	16
2	254	16
3	663	16
4	1615	16
5	2362	16
6	2584	16
7	3122	16
8	5001	16
done	5001	16

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.1b

localize22.0ms

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)
29.3b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite241.0ms

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:

49.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
27.0ms	(* (+ (* x y) z) y)
42.0ms	(* (+ (* (+ y a) y) b) y)
121.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series498.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
39.0ms	(* (+ (* x y) z) y)
37.0ms	(* (+ (* (+ y a) y) b) y)
365.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify62.0ms

Counts

103 → 103

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	509	1200
1	2222	1083
2	5001	1081
done	5001	1081

prune442.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 29.1b

localize32.0ms

Local error

Found 4 expressions with local error:

21.0b	(cbrt (* (+ (* x y) z) y))
21.0b	(cbrt (* (+ (* x y) z) y))
21.0b	(cbrt (* (+ (* x y) z) y))
29.3b	(/ (+ (* (+ (* (+ (* (* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y))) (cbrt (* (+ (* x y) z) y))) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite379.0ms

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:

9.0ms	(cbrt (* (+ (* x y) z) y))
9.0ms	(cbrt (* (+ (* x y) z) y))
9.0ms	(cbrt (* (+ (* x y) z) y))
349.0ms	(/ (+ (* (+ (* (+ (* (* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y))) (cbrt (* (+ (* x y) z) y))) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series847.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(cbrt (* (+ (* x y) z) y))
134.0ms	(cbrt (* (+ (* x y) z) y))
135.0ms	(cbrt (* (+ (* x y) z) y))
443.0ms	(/ (+ (* (+ (* (+ (* (* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y))) (cbrt (* (+ (* x y) z) y))) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify50.0ms

Counts

76 → 76

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	393	1666
1	1226	1529
2	5001	1486
done	5001	1486

prune468.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 29.1b

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
29.3b	(/ (+ (* (+ (* (+ (* (* (+ (* x y) z) (* (cbrt y) (cbrt y))) (cbrt y)) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite349.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 64

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
345.0ms	(/ (+ (* (+ (* (+ (* (* (+ (* x y) z) (* (cbrt y) (cbrt y))) (cbrt y)) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series1.0s

Counts

4 → 12

Calls

4 calls:

187.0ms	(cbrt y)
184.0ms	(cbrt y)
180.0ms	(cbrt y)
449.0ms	(/ (+ (* (+ (* (+ (* (* (+ (* x y) z) (* (cbrt y) (cbrt y))) (cbrt y)) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify107.0ms

Counts

76 → 76

Iterations

Useful iterations: 3 (91.0ms)

Iter	Nodes	Cost
0	256	1138
1	869	1043
2	3735	1037
3	5001	1034
done	5001	1034

prune405.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 29.1b

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* x y) z) y)
0.1b	(* (+ (* (+ y a) y) b) y)
0.2b	(/ 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))

rewrite296.0ms

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:

25.0ms	(* (+ (* x y) z) y)
40.0ms	(* (+ (* (+ y a) y) b) y)
106.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
117.0ms	(/ (+ (* (+ (* (+ (* (+ 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:

37.0ms	(* (+ (* x y) z) y)
42.0ms	(* (+ (* (+ y a) y) b) y)
463.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
540.0ms	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

simplify92.0ms

Counts

167 → 167

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	682	3532
1	3313	3262
2	5001	3182
done	5001	3182

prune536.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 29.1b

regimes404.0ms

Accuracy

0% (1.1b remaining)

Error of 28.8b against oracle of 27.7b and baseline of 28.8b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	27
1	45	27
done	45	27

end0.0ms

sample1.0s

Algorithm

intervals

Results

514.0ms

8269×

body

valid