Details

sample277.0ms

Algorithm

intervals

Results

11.0ms	437×	body	80	valid
6.0ms	437×	pre	80	true

simplify5.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	11
1	16	11
2	34	11
3	67	11
4	157	11
5	274	11
6	398	11
7	473	11
8	599	11
9	993	11
10	1413	11
11	2070	11
12	4237	11
done	5000	11

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(* m (- 1.0 m))
0.1b	(/ (* m (- 1.0 m)) v)
0.1b	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
21×	`add-cube-cbrt`
18×	`prod-diff`
12×	`add-exp-log` `add-cbrt-cube`
11×	`distribute-rgt-in` `distribute-lft-in`
8×	`associate-r` `associate-l`
7×	`pow1`
4×	`associate-*r/`
3×	`expm1-log1p-u` `flip3--` `times-frac` `prod-exp` `associate-/r*` `flip--` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `sub-neg` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `associate-/l/` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

3 → 95

Calls

3 calls:

12.0ms	(* m (- 1.0 m))
11.0ms	(/ (* m (- 1.0 m)) v)
55.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series132.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(* m (- 1.0 m))
37.0ms	(/ (* m (- 1.0 m)) v)
48.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify1.5s

Counts

104 → 104

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	177	1426
1	390	1223
2	1162	1038
done	5000	1020

prune174.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(* m (- 1.0 m))
0.0b	(/ v (* m (- 1.0 m)))
0.1b	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
0.3b	(/ 1 (/ v (* m (- 1.0 m))))

rewrite153.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-sqr-sqrt`
46×	`*-un-lft-identity`
44×	`times-frac`
40×	`add-cube-cbrt`
34×	`add-exp-log`
22×	`add-cbrt-cube`
18×	`prod-diff`
14×	`div-exp`
12×	`associate-*r/`
11×	`distribute-rgt-in` `distribute-lft-in` `associate-l` `associate-/r/`
10×	`associate-/r*`
9×	`pow1`
8×	`associate-r`
7×	`cbrt-undiv` `flip3--` `flip--` `div-inv`
6×	`prod-exp` `associate-/l*`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `difference-of-squares`
3×	`rec-exp` `1-exp` `distribute-lft-out--`
2×	`sub-neg` `frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `unswap-sqr`
1×	`pow-flip` `inv-pow`

Counts

4 → 164

Calls

4 calls:

12.0ms	(* m (- 1.0 m))
5.0ms	(/ v (* m (- 1.0 m)))
119.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
11.0ms	(/ 1 (/ v (* m (- 1.0 m))))

series178.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* m (- 1.0 m))
41.0ms	(/ v (* m (- 1.0 m)))
46.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
47.0ms	(/ 1 (/ v (* m (- 1.0 m))))

simplify1.1s

Counts

176 → 176

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	281	2584
1	607	2223
2	1643	1860
done	5000	1826

prune264.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sqrt v) (- 1.0 m))
0.1b	(* (- (/ (/ m (sqrt v)) (/ (sqrt v) (- 1.0 m))) 1.0) m)
0.3b	(/ m (sqrt v))
0.3b	(/ (/ m (sqrt v)) (/ (sqrt v) (- 1.0 m)))

rewrite1.6s

Algorithm

rewrite-expression-head

Rules

2217×	`times-frac`
1245×	`add-sqr-sqrt`
1204×	`*-un-lft-identity`
912×	`add-cube-cbrt`
714×	`sqrt-prod`
155×	`difference-of-squares`
146×	`distribute-lft-out--`
63×	`div-inv`
49×	`associate-/r/`
47×	`associate-/r*`
31×	`associate-/l*`
25×	`flip3--` `flip--`
22×	`add-exp-log` `add-cbrt-cube`
14×	`associate-l`
10×	`cbrt-undiv` `div-exp`
6×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `associate-r` `clear-num`
2×	`associate-*l/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `associate-/l/` `unswap-sqr`

Counts

4 → 1003

Calls

4 calls:

8.0ms	(/ (sqrt v) (- 1.0 m))
1.5s	(* (- (/ (/ m (sqrt v)) (/ (sqrt v) (- 1.0 m))) 1.0) m)
3.0ms	(/ m (sqrt v))
34.0ms	(/ (/ m (sqrt v)) (/ (sqrt v) (- 1.0 m)))

series183.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(/ (sqrt v) (- 1.0 m))
44.0ms	(* (- (/ (/ m (sqrt v)) (/ (sqrt v) (- 1.0 m))) 1.0) m)
42.0ms	(/ m (sqrt v))
52.0ms	(/ (/ m (sqrt v)) (/ (sqrt v) (- 1.0 m)))

simplify1.7s

Counts

1015 → 1015

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	1114	26686
1	3345	23581
done	5001	23509

prune1.9s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (/ 1 (sqrt v)) (/ (sqrt (cbrt v)) (- 1.0 m)))
0.4b	(* (/ m (fabs (cbrt v))) (/ (/ 1 (sqrt v)) (/ (sqrt (cbrt v)) (- 1.0 m))))
0.6b	(cbrt v)
0.6b	(cbrt v)

rewrite857.0ms

Algorithm

rewrite-expression-head

Rules

6255×	`times-frac`
3479×	`add-sqr-sqrt`
3304×	`*-un-lft-identity`
2478×	`add-cube-cbrt`
2313×	`sqrt-prod`
1127×	`associate-r`
691×	`cbrt-prod`
405×	`distribute-lft-out--` `difference-of-squares`
151×	`div-inv`
99×	`add-exp-log`
92×	`associate-/r/`
57×	`div-exp` `add-cbrt-cube`
51×	`associate-/r*`
45×	`flip3--` `flip--`
42×	`unswap-sqr`
29×	`cbrt-undiv`
22×	`associate-/l*`
18×	`prod-exp`
13×	`associate-l`
10×	`cbrt-unprod`
6×	`pow1` `rec-exp` `1-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative` `associate-/l/`

Counts

4 → 2471

Calls

4 calls:

47.0ms	(/ (/ 1 (sqrt v)) (/ (sqrt (cbrt v)) (- 1.0 m)))
467.0ms	(* (/ m (fabs (cbrt v))) (/ (/ 1 (sqrt v)) (/ (sqrt (cbrt v)) (- 1.0 m))))
0.0ms	(cbrt v)
1.0ms	(cbrt v)

series678.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(/ (/ 1 (sqrt v)) (/ (sqrt (cbrt v)) (- 1.0 m)))
173.0ms	(* (/ m (fabs (cbrt v))) (/ (/ 1 (sqrt v)) (/ (sqrt (cbrt v)) (- 1.0 m))))
185.0ms	(cbrt v)
185.0ms	(cbrt v)

simplify709.0ms

Counts

2483 → 2483

Iterations

Useful iterations: done (577.0ms)

Iter	Nodes	Cost
0	2104	67256
done	5000	67252

prune8.3s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes55.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	14	13
done	14	13

end0.0ms

sample735.0ms

Algorithm

intervals

Results

319.0ms	13730×	body	80	valid
188.0ms	13730×	pre	80	true