Details

sample51.0ms

Algorithm

intervals

Results

24.0ms

355×

body

valid

simplify2.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	27	11
2	76	11
3	168	11
4	272	11
5	400	11
6	510	11
7	752	11
8	1785	11
done	5001	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.2b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* z z) (+ z 1.0))
12.9b	(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-exp-log` `add-cbrt-cube`
12×	`prod-exp` `cbrt-unprod`
7×	`pow1`
6×	`cbrt-undiv` `div-exp`
5×	`*-un-lft-identity`
4×	`add-sqr-sqrt` `associate-r/` `associate-r*`
3×	`add-cube-cbrt` `pow-prod-down`
2×	`flip3-+` `associate-/r/` `flip-+` `add-log-exp`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `times-frac` `associate-l` `clear-num` `associate-/r` `-commutative` `div-inv` `distribute-lft-out` `associate-/l*` `unswap-sqr`

Counts

2 → 51

Calls

2 calls:

39.0ms	(* (* z z) (+ z 1.0))
32.0ms	(/ (* x y) (* (* z z) (+ z 1.0)))

series199.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(* (* z z) (+ z 1.0))
136.0ms	(/ (* x y) (* (* z z) (+ z 1.0)))

simplify2.9s

Counts

57 → 57

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	112	858
1	389	794
2	3604	634
done	5001	626

prune100.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 6.9b

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (/ (* x y) (* z z)) (+ z 1.0))
12.8b	(/ (* x y) (* z z))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log` `add-cbrt-cube`
26×	`times-frac`
25×	`*-un-lft-identity`
13×	`cbrt-undiv` `add-sqr-sqrt` `add-cube-cbrt` `div-exp`
8×	`prod-exp` `cbrt-unprod`
7×	`div-inv`
6×	`distribute-lft-out` `associate-/l*`
5×	`associate-/r*`
2×	`pow1` `frac-2neg` `clear-num` `associate-/r/` `add-log-exp`
1×	`flip3-+` `flip-+` `associate-/l/`

Counts

2 → 73

Calls

2 calls:

24.0ms	(/ (/ (* x y) (* z z)) (+ z 1.0))
13.0ms	(/ (* x y) (* z z))

series111.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(/ (/ (* x y) (* z z)) (+ z 1.0))
36.0ms	(/ (* x y) (* z z))

simplify2.0s

Counts

79 → 79

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	140	1314
1	437	1235
2	3669	1079
done	5000	1071

prune147.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (* (/ x z) (/ y z)) (+ z 1.0))
3.9b	(* (/ x z) (/ y z))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log` `add-cbrt-cube`
30×	`add-sqr-sqrt`
26×	`times-frac`
22×	`*-un-lft-identity`
18×	`add-cube-cbrt`
13×	`cbrt-undiv` `div-exp` `associate-r` `associate-l`
8×	`prod-exp` `cbrt-unprod`
4×	`pow1` `associate-/r*` `unswap-sqr`
3×	`div-inv` `associate-/l/`
2×	`frac-times` `associate-r/` `associate-l/` `associate-/r/` `distribute-lft-out` `add-log-exp`
1×	`frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `-commutative` `flip-+` `associate-/l`

Counts

2 → 84

Calls

2 calls:

40.0ms	(/ (* (/ x z) (/ y z)) (+ z 1.0))
28.0ms	(* (/ x z) (/ y z))

series112.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(/ (* (/ x z) (/ y z)) (+ z 1.0))
37.0ms	(* (/ x z) (/ y z))

simplify3.6s

Counts

90 → 90

Iterations

Useful iterations: 2 (833.0ms)

Iter	Nodes	Cost
0	172	1200
1	540	1143
2	3955	981
done	5000	981

prune254.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (/ (* (/ x z) y) z) (+ z 1.0))
1.4b	(/ (* (/ x z) y) z)
3.7b	(* (/ x z) y)

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

56×	`times-frac`
47×	`*-un-lft-identity`
36×	`add-sqr-sqrt`
31×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
13×	`cbrt-undiv` `div-exp` `associate-l`
8×	`div-inv` `distribute-lft-out` `associate-/l*`
7×	`associate-/r*`
6×	`prod-exp` `cbrt-unprod`
5×	`pow1`
3×	`associate-r` `add-log-exp`
2×	`frac-2neg` `associate-*l/` `clear-num` `associate-/r/` `associate-/l/` `unswap-sqr`
1×	`flip3-+` `pow-prod-down` `*-commutative` `flip-+`

Counts

3 → 116

Calls

3 calls:

34.0ms	(/ (/ (* (/ x z) y) z) (+ z 1.0))
19.0ms	(/ (* (/ x z) y) z)
24.0ms	(* (/ x z) y)

series153.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(/ (/ (* (/ x z) y) z) (+ z 1.0))
43.0ms	(/ (* (/ x z) y) z)
35.0ms	(* (/ x z) y)

simplify2.0s

Counts

125 → 125

Iterations

Useful iterations: 2 (565.0ms)

Iter	Nodes	Cost
0	198	1723
1	537	1638
2	3499	1484
done	5000	1484

prune345.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

regimes157.0ms

Accuracy

86% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 3.3b

bsearch2.0ms

simplify7.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	31	87
1	37	79
2	38	79
done	38	79

end0.0ms

sample894.0ms

Algorithm

intervals

Results

521.0ms

10806×

body

valid