Details

sample73.0ms

Algorithm

intervals

Results

40.0ms

510×

body

valid

simplify3.5s

Counts

1 → 1

Iterations

Useful iterations: 4 (122.0ms)

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.1b

localize13.0ms

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))

rewrite73.0ms

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:

12.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
59.0ms	(* (* y 4.0) (- (* z z) t))

series227.0ms

Counts

2 → 6

Calls

2 calls:

128.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
99.0ms	(* (* y 4.0) (- (* z z) t))

simplify1.4s

Counts

65 → 65

Iterations

Useful iterations: done (1.4s)

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

prune218.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 2.7b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite62.0ms

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:

38.0ms	(* 4.0 (* y (- t (* z z))))
21.0ms	(* y (- t (* z z)))

series164.0ms

Counts

2 → 6

Calls

2 calls:

92.0ms	(* 4.0 (* y (- t (* z z))))
72.0ms	(* y (- t (* z z)))

simplify3.3s

Counts

81 → 81

Iterations

Useful iterations: 3 (1.6s)

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

prune187.0ms

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	(* (* y t) 4.0)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 20

Calls

1 calls:

19.0ms

(* (* y t) 4.0)

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

(* (* y t) 4.0)

simplify9.6s

Counts

23 → 23

Iterations

Useful iterations: 2 (113.0ms)

Iter	Nodes	Cost
0	42	169
1	98	164
2	397	134
3	1412	134
4	2760	134
done	5000	134

prune99.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 2.7b

localize24.0ms

Local error

Found 3 expressions with local error:

0.3b	(* (* y t) (* (cbrt 4.0) (cbrt 4.0)))
0.4b	(* (* (* y t) (* (cbrt 4.0) (cbrt 4.0))) (cbrt 4.0))
1.0b	(* (cbrt 4.0) (cbrt 4.0))

rewrite258.0ms

Algorithm

rewrite-expression-head

Rules

40×	`pow1`
35×	`add-exp-log`
23×	`pow-prod-down`
22×	`prod-exp` `cbrt-unprod`
21×	`add-sqr-sqrt`
20×	`add-cbrt-cube`
19×	`cbrt-prod`
13×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
8×	`associate-l`
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 → 98

Calls

3 calls:

61.0ms	(* (* y t) (* (cbrt 4.0) (cbrt 4.0)))
157.0ms	(* (* (* y t) (* (cbrt 4.0) (cbrt 4.0))) (cbrt 4.0))
32.0ms	(* (cbrt 4.0) (cbrt 4.0))

series233.0ms

Counts

3 → 7

Calls

3 calls:

135.0ms	(* (* y t) (* (cbrt 4.0) (cbrt 4.0)))
98.0ms	(* (* (* y t) (* (cbrt 4.0) (cbrt 4.0))) (cbrt 4.0))
0.0ms	(* (cbrt 4.0) (cbrt 4.0))

simplify6.3s

Counts

105 → 105

Iterations

Useful iterations: 3 (3.4s)

Iter	Nodes	Cost
0	110	1187
1	251	1026
2	1032	806
3	4914	706
done	5000	706

prune393.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 2.7b

regimes653.0ms

Accuracy

85.3% (0.5b remaining)

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

bsearch160.0ms

Steps

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

simplify7.0ms

Iterations

Useful iterations: 1 (4.0ms)

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

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.6s

15607×

body

valid