Details

sample140.0ms

Algorithm

intervals

Results

58.0ms	463×	body	80	valid
11.0ms	463×	pre	80	true

simplify3.2s

Counts

1 → 1

Iterations

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize30.0ms

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)

rewrite181.0ms

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:

25.0ms	(* m (- 1.0 m))
17.0ms	(/ (* m (- 1.0 m)) v)
132.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series233.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(* m (- 1.0 m))
69.0ms	(/ (* m (- 1.0 m)) v)
87.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify1.7s

Counts

104 → 104

Iterations

Iter	Nodes
done	5000
2	2264
1	454
0	177

prune440.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 1.0 (/ m v)) (/ (* m m) v))
0.1b	(* (- (- (* 1.0 (/ m v)) (/ (* m m) v)) 1.0) m)
13.2b	(/ (* m m) v)

rewrite294.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 72

Calls

3 calls:

22.0ms	(- (* 1.0 (/ m v)) (/ (* m m) v))
261.0ms	(* (- (- (* 1.0 (/ m v)) (/ (* m m) v)) 1.0) m)
8.0ms	(/ (* m m) v)

series126.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(- (* 1.0 (/ m v)) (/ (* m m) v))
50.0ms	(* (- (- (* 1.0 (/ m v)) (/ (* m m) v)) 1.0) m)
27.0ms	(/ (* m m) v)

simplify2.6s

Counts

81 → 81

Iterations

Iter	Nodes
done	5000
2	3189
1	465
0	155

prune456.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity` `add-cube-cbrt`
5×	`pow1` `add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`expm1-log1p-u` `associate-r` `associate-l` `prod-diff` `log1p-expm1-u`
2×	`flip3--` `associate-*l/` `fma-udef` `flip--`
1×	`sub-neg` `fma-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `associate--r+` `unswap-sqr`

Counts

3 → 51

Calls

3 calls:

18.0ms	(- (* (/ m v) 1.0) (fma (/ m v) m 1.0))
0.0ms	(fma (/ m v) m 1.0)
40.0ms	(* (- (* (/ m v) 1.0) (fma (/ m v) m 1.0)) m)

series152.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(- (* (/ m v) 1.0) (fma (/ m v) m 1.0))
35.0ms	(fma (/ m v) m 1.0)
79.0ms	(* (- (* (/ m v) 1.0) (fma (/ m v) m 1.0)) m)

simplify1.8s

Counts

60 → 60

Iterations

Iter	Nodes
done	5000
2	1139
1	215
0	93

prune356.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ m (/ v m)) m)
0.0b	(- (* 1.0 (- (/ m (/ v m)) m)) (/ (* m m) (/ v m)))
0.2b	(/ m (/ v m))
2.3b	(/ (* m m) (/ v m))

rewrite219.0ms

Algorithm

rewrite-expression-head

Rules

791×	`times-frac`
559×	`add-sqr-sqrt`
553×	`*-un-lft-identity`
550×	`add-cube-cbrt`
414×	`prod-diff`
268×	`associate--l+`
134×	`distribute-rgt-in` `distribute-lft-in`
50×	`div-inv`
45×	`fma-neg`
26×	`associate-/r*`
21×	`add-cbrt-cube` `add-exp-log`
14×	`associate-/r/`
9×	`cbrt-undiv` `div-exp`
8×	`add-log-exp`
4×	`expm1-log1p-u` `pow1` `sub-neg` `log1p-expm1-u` `associate-/l*`
3×	`flip3--` `flip--` `difference-of-squares`
2×	`clear-num` `frac-2neg` `diff-log` `prod-exp` `associate-*r/` `frac-sub` `cbrt-unprod`
1×	`distribute-rgt-out--` `distribute-lft-out--`

Counts

4 → 618

Calls

4 calls:

65.0ms	(- (/ m (/ v m)) m)
82.0ms	(- (* 1.0 (- (/ m (/ v m)) m)) (/ (* m m) (/ v m)))
7.0ms	(/ m (/ v m))
15.0ms	(/ (* m m) (/ v m))

series123.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(- (/ m (/ v m)) m)
41.0ms	(- (* 1.0 (- (/ m (/ v m)) m)) (/ (* m m) (/ v m)))
28.0ms	(/ m (/ v m))
26.0ms	(/ (* m m) (/ v m))

simplify1.2s

Counts

630 → 630

Iterations

Iter	Nodes
done	5000
1	1413
0	498

prune4.5s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes132.0ms

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	10
1	10
0	8

end0.0ms

sample1.6s

Algorithm

intervals

Results

843.0ms	13862×	body	80	valid
386.0ms	13862×	pre	80	true