Details

sample95.0ms

Algorithm

intervals

Results

15.0ms	452×	body	80	valid
8.0ms	452×	pre	80	true

simplify3.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	13
1	16	13
2	40	13
3	112	13
4	396	13
5	1593	13
done	5000	13

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite196.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 79

Calls

2 calls:

133.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
54.0ms	(/ (* m (- 1.0 m)) v)

series162.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
94.0ms	(/ (* m (- 1.0 m)) v)

simplify2.0s

Counts

85 → 85

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	181	1897
1	492	1696
2	2966	1525
done	5001	1494

prune259.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite502.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 199

Calls

3 calls:

19.0ms	(/ v (- 1.0 m))
35.0ms	(/ m (/ v (- 1.0 m)))
438.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

series170.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(/ v (- 1.0 m))
45.0ms	(/ m (/ v (- 1.0 m)))
60.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

simplify732.0ms

Counts

208 → 208

Iterations

Useful iterations: done (712.0ms)

Iter	Nodes	Cost
0	345	3782
1	911	3507
done	5000	3244

prune680.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite376.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
44×	`*-un-lft-identity`
38×	`add-cube-cbrt`
28×	`times-frac`
23×	`associate-l`
22×	`add-exp-log` `add-cbrt-cube`
18×	`prod-diff`
12×	`distribute-rgt-in` `distribute-lft-in`
9×	`associate-r` `associate-/r/` `difference-of-squares`
8×	`pow1` `frac-times` `flip3--` `flip--`
6×	`cbrt-undiv` `associate-r/` `div-exp` `associate-/l`
5×	`prod-exp` `associate-/r*` `cbrt-unprod`
4×	`expm1-log1p-u` `flip3-+` `associate-*l/` `flip-+` `log1p-expm1-u` `add-log-exp`
3×	`div-inv` `unswap-sqr`
2×	`sub-neg` `frac-2neg` `pow-prod-down` `clear-num` `*-commutative` `distribute-lft-out--`
1×	`distribute-lft-out`

Counts

4 → 165

Calls

4 calls:

28.0ms	(/ m (* (/ v (- (* 1.0 1.0) (* m m))) (+ 1.0 m)))
256.0ms	(* (- (/ m (* (/ v (- (* 1.0 1.0) (* m m))) (+ 1.0 m))) 1.0) (- 1.0 m))
18.0ms	(/ v (- (* 1.0 1.0) (* m m)))
65.0ms	(* (/ v (- (* 1.0 1.0) (* m m))) (+ 1.0 m))

series420.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(/ m (* (/ v (- (* 1.0 1.0) (* m m))) (+ 1.0 m)))
114.0ms	(* (- (/ m (* (/ v (- (* 1.0 1.0) (* m m))) (+ 1.0 m))) 1.0) (- 1.0 m))
120.0ms	(/ v (- (* 1.0 1.0) (* m m)))
92.0ms	(* (/ v (- (* 1.0 1.0) (* m m))) (+ 1.0 m))

simplify664.0ms

Counts

177 → 177

Iterations

Useful iterations: done (656.0ms)

Iter	Nodes	Cost
0	318	4402
1	1015	4148
done	5001	3770

prune626.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite808.0ms

Algorithm

rewrite-expression-head

Rules

63×	`add-sqr-sqrt`
56×	`*-un-lft-identity`
50×	`add-cube-cbrt`
45×	`times-frac`
43×	`flip3--` `flip--`
41×	`associate-/r/`
38×	`add-exp-log` `add-cbrt-cube`
36×	`prod-diff`
28×	`frac-times`
22×	`distribute-rgt-in` `distribute-lft-in`
16×	`associate-*r/`
14×	`associate-l/` `associate-/r`
13×	`cbrt-undiv` `div-exp`
10×	`associate-r` `associate-l` `prod-exp` `cbrt-unprod`
8×	`pow1`
6×	`div-inv`
5×	`difference-of-squares`
4×	`expm1-log1p-u` `sub-neg` `log1p-expm1-u` `associate-/l*` `add-log-exp`
3×	`distribute-lft-out--`
2×	`frac-2neg` `pow-prod-down` `clear-num` `*-commutative` `associate-/l/` `unswap-sqr`

Counts

4 → 219

Calls

4 calls:

75.0ms	(/ m (/ (* v (- (* 1.0 1.0) (* m m))) (* (- (* 1.0 1.0) (* m m)) (- 1.0 m))))
605.0ms	(* (- (/ m (/ (* v (- (* 1.0 1.0) (* m m))) (* (- (* 1.0 1.0) (* m m)) (- 1.0 m)))) 1.0) (- 1.0 m))
54.0ms	(/ (* v (- (* 1.0 1.0) (* m m))) (* (- (* 1.0 1.0) (* m m)) (- 1.0 m)))
62.0ms	(* (- (* 1.0 1.0) (* m m)) (- 1.0 m))

series207.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(/ m (/ (* v (- (* 1.0 1.0) (* m m))) (* (- (* 1.0 1.0) (* m m)) (- 1.0 m))))
62.0ms	(* (- (/ m (/ (* v (- (* 1.0 1.0) (* m m))) (* (- (* 1.0 1.0) (* m m)) (- 1.0 m)))) 1.0) (- 1.0 m))
52.0ms	(/ (* v (- (* 1.0 1.0) (* m m))) (* (- (* 1.0 1.0) (* m m)) (- 1.0 m)))
41.0ms	(* (- (* 1.0 1.0) (* m m)) (- 1.0 m))

simplify851.0ms

Counts

231 → 231

Iterations

Useful iterations: done (827.0ms)

Iter	Nodes	Cost
0	391	8737
1	1133	8224
done	5000	5052

prune1.0s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes61.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	9	13
done	9	13

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.0s	13779×	pre	80	true
765.0ms	13779×	body	80	valid