Details

sample43.0ms

Algorithm

intervals

Results

18.0ms

262×

body

valid

simplify102.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 28.6b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
0.1b	(* (+ (* x y) z) y)
0.1b	(* (+ (* (+ y a) y) b) y)
27.9b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite269.0ms

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:

80.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
26.0ms	(* (+ (* x y) z) y)
41.0ms	(* (+ (* (+ y a) y) b) y)
119.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series531.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
39.0ms	(* (+ (* x y) z) y)
37.0ms	(* (+ (* (+ y a) y) b) y)
369.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify65.0ms

Counts

103 → 103

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	520	1262
1	2301	1130
2	5001	1130
done	5001	1130

prune448.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 27.1b

localize23.0ms

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))
28.0b	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

rewrite377.0ms

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:

26.0ms	(* (+ (* x y) z) y)
41.0ms	(* (+ (* (+ y a) y) b) y)
59.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
247.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

series503.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (+ (* x y) z) y)
36.0ms	(* (+ (* (+ y a) y) b) y)
63.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
367.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

simplify72.0ms

Counts

127 → 127

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	561	1615
1	2719	1422
2	5002	1396
done	5002	1396

prune450.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 27.1b

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
27.9b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (+ (* (+ y a) y) b) (* (cbrt y) (cbrt y))) (cbrt y)) c) y) i))

rewrite291.0ms

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)
286.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (+ (* (+ y a) y) b) (* (cbrt y) (cbrt y))) (cbrt y)) c) y) i))

series1.0s

Counts

4 → 12

Calls

4 calls:

181.0ms	(cbrt y)
185.0ms	(cbrt y)
184.0ms	(cbrt y)
487.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (+ (* (+ y a) y) b) (* (cbrt y) (cbrt y))) (cbrt y)) c) y) i))

simplify101.0ms

Counts

76 → 76

Iterations

Useful iterations: 3 (91.0ms)

Iter	Nodes	Cost
0	256	1138
1	869	1043
2	3761	1037
3	5001	1034
done	5001	1034

prune413.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 27.1b

localize23.0ms

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)))
27.9b	(/ (+ (* (+ (* (+ (* (+ 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)
41.0ms	(* (+ (* (+ 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)))
118.0ms	(/ (+ (* (+ (* (+ (* (+ 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:

40.0ms	(* (+ (* x y) z) y)
36.0ms	(* (+ (* (+ y a) y) b) y)
459.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
532.0ms	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

simplify89.0ms

Counts

167 → 167

Iterations

Useful iterations: 2 (64.0ms)

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

prune512.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 27.1b

regimes499.0ms

Accuracy

0% (1.3b remaining)

Error of 28.9b against oracle of 27.7b and baseline of 28.9b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	17
1	45	17
done	45	17

end0.0ms

sample1.1s

Algorithm

intervals

Results

505.0ms

8229×

body

valid