Details

sample273.0ms

Algorithm

intervals

Results

11.0ms	437×	body	80	valid
7.0ms	437×	pre	80	true

simplify3.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	11
1	16	11
2	34	11
3	62	11
4	140	11
5	222	11
6	295	11
7	334	11
8	438	11
9	794	11
10	1091	11
11	1638	11
12	3733	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)

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
12×	`add-exp-log` `add-cbrt-cube`
9×	`add-cube-cbrt`
8×	`associate-r` `associate-l`
7×	`pow1`
4×	`associate-*r/`
3×	`flip3--` `times-frac` `prod-exp` `associate-/r*` `flip--` `cbrt-unprod` `add-log-exp`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `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 → 71

Calls

3 calls:

10.0ms	(* m (- 1.0 m))
6.0ms	(/ (* m (- 1.0 m)) v)
36.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series131.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(* m (- 1.0 m))
37.0ms	(/ (* m (- 1.0 m)) v)
44.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify2.3s

Counts

80 → 80

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	126	882
1	309	845
2	979	747
3	4523	735
done	5000	735

prune152.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
16×	`associate-r`
14×	`*-un-lft-identity`
12×	`add-cube-cbrt`
10×	`times-frac`
9×	`add-exp-log` `add-cbrt-cube`
8×	`associate-l`
6×	`pow1`
4×	`associate-*l/`
3×	`flip3--` `prod-exp` `flip--` `cbrt-unprod` `unswap-sqr`
2×	`frac-times` `pow-prod-down` `*-commutative` `add-log-exp`
1×	`cbrt-undiv` `associate-*r/` `div-exp` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 58

Calls

2 calls:

14.0ms	(* (- 1.0 m) (/ m v))
27.0ms	(* (- (* (- 1.0 m) (/ m v)) 1.0) m)

series76.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(* (- 1.0 m) (/ m v))
39.0ms	(* (- (* (- 1.0 m) (/ m v)) 1.0) m)

simplify782.0ms

Counts

64 → 64

Iterations

Useful iterations: done (781.0ms)

Iter	Nodes	Cost
0	124	814
1	311	774
2	1199	700
done	5000	688

prune126.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
16×	`associate-l`
14×	`*-un-lft-identity`
12×	`add-cube-cbrt`
10×	`times-frac`
9×	`add-exp-log` `add-cbrt-cube`
8×	`associate-r`
6×	`pow1`
3×	`flip3--` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `unswap-sqr`
2×	`distribute-rgt-in` `frac-times` `sub-neg` `distribute-lft-in` `associate-r/` `pow-prod-down` `-commutative` `add-log-exp`
1×	`cbrt-undiv` `div-exp` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 62

Calls

2 calls:

16.0ms	(* (/ m v) (- 1.0 m))
27.0ms	(* (- (* (/ m v) (- 1.0 m)) 1.0) m)

series74.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(* (/ m v) (- 1.0 m))
35.0ms	(* (- (* (/ m v) (- 1.0 m)) 1.0) m)

simplify2.0s

Counts

68 → 68

Iterations

Useful iterations: 3 (1.0s)

Iter	Nodes	Cost
0	127	840
1	324	810
2	1166	722
3	4664	710
done	5000	710

prune137.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite187.0ms

Algorithm

rewrite-expression-head

Rules

110×	`times-frac`
69×	`add-sqr-sqrt`
61×	`sqrt-prod`
59×	`*-un-lft-identity`
55×	`add-cube-cbrt`
22×	`add-exp-log` `add-cbrt-cube`
12×	`associate-/r*`
11×	`associate-/l*`
10×	`associate-l`
9×	`div-inv`
8×	`pow1` `associate-r`
7×	`cbrt-undiv` `div-exp`
4×	`associate-*r/` `prod-exp` `cbrt-unprod` `add-log-exp` `difference-of-squares`
3×	`flip3--` `flip--` `associate-/l/`
2×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 172

Calls

4 calls:

11.0ms	(* m (- 1.0 m))
152.0ms	(* (- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0) m)
7.0ms	(/ (* m (- 1.0 m)) (sqrt v))
10.0ms	(/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v))

series202.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* m (- 1.0 m))
43.0ms	(* (- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0) m)
59.0ms	(/ (* m (- 1.0 m)) (sqrt v))
47.0ms	(/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v))

simplify957.0ms

Counts

184 → 184

Iterations

Useful iterations: done (948.0ms)

Iter	Nodes	Cost
0	268	3010
1	681	2575
2	1987	2338
done	5000	2333

prune307.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes49.0ms

Accuracy

0% (0.1b 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	8	11
1	10	11
done	10	11

end0.0ms

sample759.0ms

Algorithm

intervals

Results

322.0ms	13730×	body	80	valid
191.0ms	13730×	pre	80	true