Details

sample117.0ms

Algorithm

intervals

Results

82.0ms

263×

body

valid

simplify1.4s

Counts

1 → 1

Iterations

Iter	Nodes
6	3197
5	1788
4	733
3	264
2	88
1	41
0	26

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.6b

localize56.0ms

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	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
30.6b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite684.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
18×	`*-un-lft-identity` `add-cube-cbrt`
12×	`add-cbrt-cube` `add-exp-log`
10×	`pow1`
9×	`times-frac` `associate-r` `associate-l`
6×	`associate-*l/`
5×	`flip3-+` `flip-+`
4×	`insert-posit16` `add-log-exp`
3×	`associate-/r` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `associate-/l*` `unswap-sqr`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 95

Calls

4 calls:

87.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
24.0ms	(* (+ (* x y) z) y)
71.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
501.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series622.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
49.0ms	(* (+ (* x y) z) y)
65.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
405.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify7.9s

Counts

107 → 107

Iterations

Iter	Nodes
3	7509
2	1888
1	519
0	200

prune2.3s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 30.0b

localize85.0ms

Local error

Found 4 expressions with local error:

25.7b	(cbrt (* (+ (* x y) z) y))
25.7b	(cbrt (* (+ (* x y) z) y))
25.7b	(cbrt (* (+ (* x y) z) y))
30.6b	(/ (+ (* (+ (* (+ (* (* (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))

rewrite376.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
6×	`cbrt-div` `add-cbrt-cube` `associate-*l/` `add-exp-log`
5×	`flip3-+` `flip-+`
4×	`pow1` `insert-posit16` `add-log-exp`
3×	`cbrt-prod` `associate-/r` `pow1/3` `associate-/l`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 68

Calls

4 calls:

11.0ms	(cbrt (* (+ (* x y) z) y))
16.0ms	(cbrt (* (+ (* x y) z) y))
13.0ms	(cbrt (* (+ (* x y) z) y))
336.0ms	(/ (+ (* (+ (* (+ (* (* (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))

series1.0s

Counts

4 → 12

Calls

4 calls:

159.0ms	(cbrt (* (+ (* x y) z) y))
216.0ms	(cbrt (* (+ (* x y) z) y))
181.0ms	(cbrt (* (+ (* x y) z) y))
482.0ms	(/ (+ (* (+ (* (+ (* (* (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))

simplify1.9s

Counts

80 → 80

Iterations

Iter	Nodes
3	4247
2	1125
1	400
0	166

prune2.0s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 30.0b

localize131.0ms

Local error

Found 4 expressions with local error:

25.7b	(cbrt (* (+ (* x y) z) y))
25.7b	(cbrt (* (+ (* x y) z) y))
25.7b	(cbrt (* (+ (* x y) z) y))
30.6b	(* (+ (* (+ (* (+ (* (* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y))) (cbrt (* (+ (* x y) z) y))) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

rewrite1.3s

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
15×	`associate-r`
13×	`*-un-lft-identity` `add-exp-log`
12×	`add-cube-cbrt`
11×	`times-frac`
9×	`add-cbrt-cube`
8×	`associate-*l/`
6×	`pow1` `cbrt-div` `flip3-+` `flip-+`
4×	`prod-exp` `insert-posit16` `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` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `div-inv`

Counts

4 → 79

Calls

4 calls:

16.0ms	(cbrt (* (+ (* x y) z) y))
16.0ms	(cbrt (* (+ (* x y) z) y))
18.0ms	(cbrt (* (+ (* x y) z) y))
1.3s	(* (+ (* (+ (* (+ (* (* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y))) (cbrt (* (+ (* x y) z) y))) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

series1.1s

Counts

4 → 12

Calls

4 calls:

175.0ms	(cbrt (* (+ (* x y) z) y))
166.0ms	(cbrt (* (+ (* x y) z) y))
189.0ms	(cbrt (* (+ (* x y) z) y))
579.0ms	(* (+ (* (+ (* (+ (* (* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y))) (cbrt (* (+ (* x y) z) y))) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

simplify4.5s

Counts

91 → 91

Iterations

Iter	Nodes
3	5888
2	1654
1	530
0	198

prune2.4s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 30.0b

localize101.0ms

Local error

Found 4 expressions with local error:

22.0b	(cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616))
22.0b	(cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616))
22.0b	(cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616))
30.6b	(/ (+ (* (* (cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616)) (cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616))) (* (cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616)) y)) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite775.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`cbrt-prod` `times-frac`
6×	`cbrt-div` `add-cbrt-cube` `add-exp-log`
5×	`flip3-+` `flip-+`
4×	`pow1` `insert-posit16` `add-log-exp`
3×	`associate-/r` `pow1/3` `associate-/l`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 74

Calls

4 calls:

23.0ms	(cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616))
19.0ms	(cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616))
18.0ms	(cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616))
713.0ms	(/ (+ (* (* (cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616)) (cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616))) (* (cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616)) y)) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series1.2s

Counts

4 → 12

Calls

4 calls:

265.0ms	(cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616))
264.0ms	(cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616))
249.0ms	(cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616))
466.0ms	(/ (+ (* (* (cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616)) (cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616))) (* (cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616)) y)) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify2.5s

Counts

86 → 86

Iterations

Iter	Nodes
3	4814
2	1138
1	369
0	149

prune1.9s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 30.0b

regimes1.5s

Accuracy

0% (0.8b remaining)

Error of 29.2b against oracle of 28.4b and baseline of 29.2b

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
2	48
1	48
0	31

end0.0ms

sample2.6s

Algorithm

intervals

Results

2.0s

8252×

body

valid