Details

sample135.0ms

Algorithm

intervals

Results

26.0ms	426×	body	80	valid
13.0ms	426×	pre	80	true

simplify13.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	11
1	21	11
2	86	11
3	354	11
4	782	11
5	2273	11
6	3730	11
done	5000	11

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite204.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

22.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
44.0ms	(* m (- 1.0 m))
25.0ms	(/ (* m (- 1.0 m)) v)
110.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series202.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
55.0ms	(* m (- 1.0 m))
41.0ms	(/ (* m (- 1.0 m)) v)
77.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify11.2s

Counts

97 → 97

Iterations

Useful iterations: done (11.2s)

Iter	Nodes	Cost
0	138	1137
1	3415	1099
done	5000	995

prune235.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0)
0.0b	(- (* 1.0 (/ m v)) (/ (pow m 2) v))
0.1b	(* (- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0) m)
12.6b	(/ (pow m 2) v)

rewrite886.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
25×	`times-frac`
23×	`add-cube-cbrt`
12×	`unpow-prod-down`
11×	`add-exp-log` `add-log-exp`
8×	`add-cbrt-cube` `associate-/l*`
6×	`pow1`
5×	`associate-l` `unpow2`
4×	`diff-log` `sqr-pow`
3×	`sub-neg` `flip3--` `div-exp` `associate-r` `associate-/r*` `flip--`
2×	`associate-r/` `associate-l/` `associate--l+` `distribute-lft-out--` `difference-of-squares`
1×	`cbrt-undiv` `associate--l-` `pow-to-exp` `distribute-rgt-out--` `frac-2neg` `pow-prod-down` `pow-exp` `prod-exp` `clear-num` `*-commutative` `frac-sub` `cbrt-unprod` `div-inv` `sub-div` `unswap-sqr`

Counts

4 → 104

Calls

4 calls:

205.0ms	(- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0)
35.0ms	(- (* 1.0 (/ m v)) (/ (pow m 2) v))
620.0ms	(* (- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0) m)
19.0ms	(/ (pow m 2) v)

series179.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0)
68.0ms	(- (* 1.0 (/ m v)) (/ (pow m 2) v))
45.0ms	(* (- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0) m)
33.0ms	(/ (pow m 2) v)

simplify1.7s

Counts

116 → 116

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	174	1696
done	5000	1561

prune377.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite190.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
31×	`times-frac`
26×	`add-cube-cbrt`
22×	`associate-r`
13×	`add-exp-log` `add-cbrt-cube`
8×	`pow1`
7×	`distribute-lft-out--` `difference-of-squares`
6×	`associate-l` `add-log-exp`
5×	`associate-/l*`
3×	`flip3--` `prod-exp` `associate-/r*` `flip--` `cbrt-unprod` `unswap-sqr`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv` `associate-/l/`
1×	`sub-neg` `frac-2neg` `diff-log` `div-sub` `associate-*r/` `clear-num`

Counts

4 → 108

Calls

4 calls:

23.0ms	(/ (- 1.0 m) v)
14.0ms	(- (* m (/ (- 1.0 m) v)) 1.0)
114.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
31.0ms	(* m (/ (- 1.0 m) v))

series182.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(/ (- 1.0 m) v)
38.0ms	(- (* m (/ (- 1.0 m) v)) 1.0)
52.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
50.0ms	(* m (/ (- 1.0 m) v))

simplify8.9s

Counts

120 → 120

Iterations

Useful iterations: done (8.9s)

Iter	Nodes	Cost
0	160	1426
1	2538	1360
done	5001	1232

prune402.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt v) (cbrt v))
0.7b	(cbrt v)
0.7b	(cbrt v)
0.7b	(cbrt v)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

13.0ms	(* (cbrt v) (cbrt v))
1.0ms	(cbrt v)
6.0ms	(cbrt v)
1.0ms	(cbrt v)

series1.2s

Counts

4 → 12

Calls

4 calls:

265.0ms	(* (cbrt v) (cbrt v))
317.0ms	(cbrt v)
311.0ms	(cbrt v)
338.0ms	(cbrt v)

simplify9.9s

Counts

85 → 85

Iterations

Useful iterations: done (9.9s)

Iter	Nodes	Cost
0	61	524
1	396	417
done	5000	382

prune331.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes67.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	10	11
done	10	11

end0.0ms

sample1.6s

Algorithm

intervals

Results

756.0ms	13899×	body	80	valid
360.0ms	13899×	pre	80	true