Details

sample172.0ms

Algorithm

intervals

Results

25.0ms	438×	body	80	valid
13.0ms	438×	pre	80	true

simplify2.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	1643
5	472
4	189
3	72
2	34
1	16
0	8

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 3 expressions with local error:

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

rewrite166.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 95

Calls

3 calls:

36.0ms	(* m (- 1.0 m))
34.0ms	(/ (* m (- 1.0 m)) v)
88.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series224.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(* m (- 1.0 m))
56.0ms	(/ (* m (- 1.0 m)) v)
80.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify1.4s

Counts

104 → 104

Iterations

Iter	Nodes
done	5000
2	2264
1	454
0	177

prune468.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- 1.0 m) v)
0.1b	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
0.2b	(* m (/ (- 1.0 m) v))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
31×	`times-frac`
25×	`add-cube-cbrt`
22×	`associate-r`
12×	`add-cbrt-cube` `add-exp-log`
7×	`pow1` `distribute-lft-out--` `difference-of-squares`
6×	`associate-l`
5×	`associate-/l*`
3×	`expm1-log1p-u` `associate-/r*` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `flip3--` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv` `flip--` `associate-/l/`
1×	`clear-num` `frac-2neg` `div-sub` `associate-*r/`

Counts

3 → 102

Calls

3 calls:

13.0ms	(/ (- 1.0 m) v)
63.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
41.0ms	(* m (/ (- 1.0 m) v))

series157.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(/ (- 1.0 m) v)
41.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
63.0ms	(* m (/ (- 1.0 m) v))

simplify1.2s

Counts

111 → 111

Iterations

Iter	Nodes
done	5001
2	1832
1	407
0	155

prune570.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (/ m v) (- 1.0 m) (- 1.0))
0.2b	(* (sqrt m) (fma (/ m v) (- 1.0 m) (- 1.0)))
0.4b	(* (* (sqrt m) (fma (/ m v) (- 1.0 m) (- 1.0))) (sqrt m))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
10×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`associate-r`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`associate-l` `sqrt-prod`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `fma-udef` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in`

Counts

3 → 59

Calls

3 calls:

0.0ms	(fma (/ m v) (- 1.0 m) (- 1.0))
16.0ms	(* (sqrt m) (fma (/ m v) (- 1.0 m) (- 1.0)))
25.0ms	(* (* (sqrt m) (fma (/ m v) (- 1.0 m) (- 1.0))) (sqrt m))

series232.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(fma (/ m v) (- 1.0 m) (- 1.0))
122.0ms	(* (sqrt m) (fma (/ m v) (- 1.0 m) (- 1.0)))
80.0ms	(* (* (sqrt m) (fma (/ m v) (- 1.0 m) (- 1.0))) (sqrt m))

simplify857.0ms

Counts

68 → 68

Iterations

Iter	Nodes
done	5000
2	1332
1	267
0	101

prune368.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ m (/ v m)) m)
0.0b	(- (* 1.0 (- (/ m (/ v m)) m)) (/ (pow m 3) v))
0.2b	(/ m (/ v m))
10.4b	(/ (pow m 3) v)

rewrite264.0ms

Algorithm

rewrite-expression-head

Rules

810×	`times-frac`
584×	`add-sqr-sqrt`
578×	`*-un-lft-identity`
575×	`add-cube-cbrt`
436×	`prod-diff`
268×	`associate--l+`
134×	`distribute-rgt-in` `distribute-lft-in`
47×	`div-inv`
45×	`fma-neg`
21×	`unpow-prod-down` `cube-prod`
16×	`associate-/r*`
15×	`associate-/l*`
14×	`add-exp-log`
12×	`associate-/r/`
11×	`add-cbrt-cube`
8×	`add-log-exp`
7×	`cube-mult` `unpow3` `sqr-pow`
6×	`div-exp`
4×	`expm1-log1p-u` `pow1` `cbrt-undiv` `sub-neg` `log1p-expm1-u`
3×	`flip3--` `flip--` `difference-of-squares`
2×	`clear-num` `frac-2neg` `diff-log` `associate-*r/` `frac-sub`
1×	`pow-to-exp` `distribute-rgt-out--` `pow-exp` `distribute-lft-out--`

Counts

4 → 659

Calls

4 calls:

65.0ms	(- (/ m (/ v m)) m)
112.0ms	(- (* 1.0 (- (/ m (/ v m)) m)) (/ (pow m 3) v))
7.0ms	(/ m (/ v m))
7.0ms	(/ (pow m 3) v)

series535.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(- (/ m (/ v m)) m)
440.0ms	(- (* 1.0 (- (/ m (/ v m)) m)) (/ (pow m 3) v))
35.0ms	(/ m (/ v m))
32.0ms	(/ (pow m 3) v)

simplify867.0ms

Counts

671 → 671

Iterations

Iter	Nodes
done	5000
1	1616
0	601

prune4.1s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes171.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	11
1	11
0	10

end0.0ms

sample1.6s

Algorithm

intervals

Results

739.0ms	13678×	body	80	valid
393.0ms	13678×	pre	80	true