Details

sample63.0ms

Algorithm

intervals

Results

34.0ms

510×

body

valid

simplify3.8s

Counts

1 → 1

Iterations

Useful iterations: 4 (120.0ms)

Iter	Nodes	Cost
0	11	13
1	21	13
2	52	13
3	171	13
4	346	12
5	586	12
6	698	12
7	805	12
8	1042	12
9	1225	12
10	1228	12
done	1228	12

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.1b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x x) (* (* y 4.0) (- (* z z) t)))
5.7b	(* (* y 4.0) (- (* z z) t))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

13×	`prod-diff`
10×	`distribute-rgt-in` `distribute-lft-in` `associate--r+`
8×	`add-sqr-sqrt`
7×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
5×	`sub-neg`
4×	`associate-r` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3--` `associate-*r/` `flip--` `log1p-expm1-u`
1×	`fma-neg` `diff-log` `associate-l` `*-commutative` `difference-of-squares`

Counts

2 → 59

Calls

2 calls:

35.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
80.0ms	(* (* y 4.0) (- (* z z) t))

series250.0ms

Counts

2 → 6

Calls

2 calls:

131.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
119.0ms	(* (* y 4.0) (- (* z z) t))

simplify1.6s

Counts

65 → 65

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	136	1075
1	364	959
2	1221	843
done	5000	815

prune241.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 2.7b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 4.0 (* y (- t (* z z))))
5.5b	(* y (- t (* z z)))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

25×	`distribute-rgt-in` `distribute-lft-in`
18×	`prod-diff`
14×	`add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`sub-neg` `associate-r/` `associate-l*`
5×	`associate-r`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3--` `*-commutative` `flip--` `log1p-expm1-u` `add-log-exp`
1×	`difference-of-squares` `unswap-sqr`

Counts

2 → 75

Calls

2 calls:

53.0ms	(* 4.0 (* y (- t (* z z))))
29.0ms	(* y (- t (* z z)))

series201.0ms

Counts

2 → 6

Calls

2 calls:

123.0ms	(* 4.0 (* y (- t (* z z))))
76.0ms	(* y (- t (* z z)))

simplify3.0s

Counts

81 → 81

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	122	1117
1	282	1099
2	830	951
3	4169	927
done	5000	927

prune198.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 2.7b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 4.0 (* t y))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`expm1-log1p-u` `associate-r` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

1 → 20

Calls

1 calls:

18.0ms

(* 4.0 (* t y))

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

(* 4.0 (* t y))

simplify8.9s

Counts

23 → 23

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	37	166
1	87	163
2	300	133
3	1003	133
4	2173	133
5	4443	133
done	5001	133

prune79.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 2.7b

localize13.0ms

Local error

Found 3 expressions with local error:

0.3b	(* (* (cbrt 4.0) (cbrt 4.0)) (* (cbrt 4.0) (* t y)))
0.3b	(* (cbrt 4.0) (* t y))
1.0b	(* (cbrt 4.0) (cbrt 4.0))

rewrite169.0ms

Algorithm

rewrite-expression-head

Rules

36×	`pow1`
31×	`add-exp-log`
21×	`add-sqr-sqrt`
20×	`pow-prod-down`
19×	`cbrt-prod` `prod-exp` `cbrt-unprod`
17×	`add-cbrt-cube`
13×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
8×	`associate-r`
6×	`pow1/3` `swap-sqr`
4×	`unswap-sqr`
3×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

3 → 95

Calls

3 calls:

94.0ms	(* (* (cbrt 4.0) (cbrt 4.0)) (* (cbrt 4.0) (* t y)))
38.0ms	(* (cbrt 4.0) (* t y))
33.0ms	(* (cbrt 4.0) (cbrt 4.0))

series171.0ms

Counts

3 → 7

Calls

3 calls:

98.0ms	(* (* (cbrt 4.0) (cbrt 4.0)) (* (cbrt 4.0) (* t y)))
73.0ms	(* (cbrt 4.0) (* t y))
0.0ms	(* (cbrt 4.0) (cbrt 4.0))

simplify7.9s

Counts

102 → 102

Iterations

Useful iterations: done (7.9s)

Iter	Nodes	Cost
0	103	1041
1	228	973
2	964	731
3	4733	618
done	5000	616

prune310.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 2.7b

regimes689.0ms

Accuracy

85.3% (0.5b remaining)

Error of 3.0b against oracle of 2.5b and baseline of 6.0b

bsearch216.0ms

Steps

Iters	Range		Point
8	2.545703430091905e+149	1.2262819834048186e+154	1.205875807953863e+154
8	-1.769171722317776e+149	-1.7344183351890289e+146	-1.74920595474598e+149

simplify4.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	24	54
1	33	38
done	33	38

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.4s

15607×

body

valid