Details

sample16.0ms

Algorithm

intervals

Results

8.0ms

263×

body

valid

simplify2.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	12
1	25	12
2	65	12
3	125	12
4	197	12
5	250	12
6	300	12
7	335	12
8	379	12
9	447	12
10	604	12
11	1606	12
done	5001	12

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.4b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ t1 u) (+ t1 u))
18.2b	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
16×	`add-exp-log` `add-cbrt-cube`
12×	`flip3-+` `flip-+`
9×	`pow1`
8×	`add-sqr-sqrt` `frac-times` `associate-/r/`
6×	`add-cube-cbrt` `swap-sqr` `distribute-lft-out`
5×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `associate-r/` `div-exp` `associate-r` `associate-l` `associate-l/`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`distribute-lft-neg-out` `pow2` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `times-frac` `pow-plus` `distribute-frac-neg` `pow-prod-down` `clear-num` `associate-/r` `pow-sqr` `-commutative` `pow-prod-up` `div-inv` `associate-/l*` `unswap-sqr`

Counts

2 → 74

Calls

2 calls:

16.0ms	(* (+ t1 u) (+ t1 u))
10.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series86.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(* (+ t1 u) (+ t1 u))
72.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify803.0ms

Counts

80 → 80

Iterations

Useful iterations: 2 (204.0ms)

Iter	Nodes	Cost
0	117	1120
1	378	1025
2	1768	869
done	5000	869

prune142.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ v (+ t1 u))
0.6b	(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
6.9b	(* (- t1) (/ v (+ t1 u)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

43×	`*-un-lft-identity`
30×	`add-sqr-sqrt`
29×	`times-frac`
25×	`add-cube-cbrt`
19×	`add-exp-log` `add-cbrt-cube`
18×	`associate-r`
10×	`associate-l`
9×	`distribute-lft-out`
8×	`associate-/r*`
6×	`cbrt-undiv` `div-exp` `associate-/r/`
5×	`pow1`
4×	`prod-exp` `cbrt-unprod` `associate-/l*`
3×	`distribute-lft-neg-in` `expm1-log1p-u` `distribute-rgt-neg-in` `flip3-+` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`distribute-lft-neg-out` `frac-2neg` `associate-*r/` `clear-num` `unswap-sqr`
1×	`neg-mul-1` `distribute-frac-neg` `pow-prod-down` `*-commutative` `associate-/l/`

Counts

3 → 113

Calls

3 calls:

5.0ms	(/ v (+ t1 u))
11.0ms	(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
18.0ms	(* (- t1) (/ v (+ t1 u)))

series142.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(/ v (+ t1 u))
70.0ms	(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
50.0ms	(* (- t1) (/ v (+ t1 u)))

simplify694.0ms

Counts

122 → 122

Iterations

Useful iterations: 2 (258.0ms)

Iter	Nodes	Cost
0	142	1368
1	392	1292
2	1662	1146
done	5001	1146

prune230.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ t1 u))
0.0b	(/ v (+ t1 u))
0.7b	(* (* (- t1) (/ v (+ t1 u))) (/ 1 (+ t1 u)))
6.9b	(* (- t1) (/ v (+ t1 u)))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

69×	`*-un-lft-identity`
54×	`add-exp-log`
49×	`times-frac`
46×	`add-sqr-sqrt`
41×	`add-cube-cbrt`
36×	`associate-r`
34×	`add-cbrt-cube`
22×	`prod-exp`
14×	`div-exp` `distribute-lft-out`
12×	`pow1` `cbrt-unprod`
11×	`associate-l`
8×	`cbrt-undiv` `associate-/r*` `associate-/r/`
6×	`associate-/l*`
4×	`expm1-log1p-u` `rec-exp` `flip3-+` `1-exp` `associate-*r/` `pow-prod-down` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`distribute-lft-neg-out` `distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`frac-2neg` `clear-num` `*-commutative` `unswap-sqr`
1×	`frac-times` `neg-mul-1` `pow-flip` `associate-*l/` `un-div-inv` `inv-pow`

Counts

4 → 175

Calls

4 calls:

5.0ms	(/ 1 (+ t1 u))
5.0ms	(/ v (+ t1 u))
31.0ms	(* (* (- t1) (/ v (+ t1 u))) (/ 1 (+ t1 u)))
18.0ms	(* (- t1) (/ v (+ t1 u)))

series175.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(/ 1 (+ t1 u))
23.0ms	(/ v (+ t1 u))
70.0ms	(* (* (- t1) (/ v (+ t1 u))) (/ 1 (+ t1 u)))
46.0ms	(* (- t1) (/ v (+ t1 u)))

simplify986.0ms

Counts

187 → 187

Iterations

Useful iterations: 2 (429.0ms)

Iter	Nodes	Cost
0	194	2220
1	556	1926
2	2011	1676
done	5000	1676

prune323.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ v (+ t1 u))
0.3b	(/ 1 (/ (+ t1 u) (* (- t1) (/ v (+ t1 u)))))
0.6b	(/ (+ t1 u) (* (- t1) (/ v (+ t1 u))))
6.9b	(* (- t1) (/ v (+ t1 u)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

72×	`times-frac`
70×	`*-un-lft-identity`
54×	`add-exp-log`
49×	`add-sqr-sqrt`
44×	`add-cube-cbrt`
34×	`add-cbrt-cube`
26×	`div-exp`
18×	`associate-r`
14×	`cbrt-undiv` `associate-/r*`
13×	`distribute-lft-out`
10×	`associate-l` `prod-exp` `associate-/r/` `associate-/l*`
8×	`div-inv`
7×	`pow1`
6×	`associate-*r/` `cbrt-unprod`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `frac-2neg` `flip3-+` `clear-num` `flip-+`
2×	`associate-/l/` `unswap-sqr`
1×	`distribute-lft-neg-out` `neg-mul-1` `pow-flip` `pow-prod-down` `*-commutative` `inv-pow`

Counts

4 → 182

Calls

4 calls:

5.0ms	(/ v (+ t1 u))
19.0ms	(/ 1 (/ (+ t1 u) (* (- t1) (/ v (+ t1 u)))))
12.0ms	(/ (+ t1 u) (* (- t1) (/ v (+ t1 u))))
18.0ms	(* (- t1) (/ v (+ t1 u)))

series217.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(/ v (+ t1 u))
113.0ms	(/ 1 (/ (+ t1 u) (* (- t1) (/ v (+ t1 u)))))
34.0ms	(/ (+ t1 u) (* (- t1) (/ v (+ t1 u))))
47.0ms	(* (- t1) (/ v (+ t1 u)))

simplify826.0ms

Counts

194 → 194

Iterations

Useful iterations: 2 (287.0ms)

Iter	Nodes	Cost
0	234	2799
1	604	2527
2	2161	2212
done	5000	2212

prune317.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes70.0ms

Accuracy

0% (1.4b remaining)

Error of 1.5b against oracle of 0.2b and baseline of 1.5b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	17	14
2	24	14
3	30	14
4	32	14
done	32	14

end0.0ms

sample389.0ms

Algorithm

intervals

Results

218.0ms

8252×

body

valid