Details

sample129.0ms

Algorithm

intervals

Results

17.0ms	463×	body	80	valid
8.0ms	463×	pre	80	true

simplify4.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	4269
5	937
4	310
3	98
2	38
1	16
0	8

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite187.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 83

Calls

3 calls:

34.0ms	(* m (- 1.0 m))
132.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
14.0ms	(/ (* m (- 1.0 m)) v)

series196.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(* m (- 1.0 m))
74.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
61.0ms	(/ (* m (- 1.0 m)) v)

simplify1.6s

Counts

92 → 92

Iterations

Iter	Nodes
done	5006
2	1592
1	421
0	147

prune844.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite389.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 138

Calls

2 calls:

27.0ms	(/ m (/ v (- 1.0 m)))
349.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

series138.0ms

Counts

2 → 6

Calls

2 calls:

72.0ms	(/ m (/ v (- 1.0 m)))
65.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

simplify2.0s

Counts

144 → 144

Iterations

Iter	Nodes
done	5001
2	2689
1	710
0	269

prune698.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 74

Calls

2 calls:

47.0ms	(* (/ m v) (- 1.0 m))
119.0ms	(* (- (* (/ m v) (- 1.0 m)) 1.0) (- 1.0 m))

series118.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(* (/ m v) (- 1.0 m))
65.0ms	(* (- (* (/ m v) (- 1.0 m)) 1.0) (- 1.0 m))

simplify1.9s

Counts

80 → 80

Iterations

Iter	Nodes
done	5001
2	1646
1	419
0	148

prune396.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ 1.0 m) (- 1.0 m))
0.0b	(* (- (* (/ m v) (- 1.0 m)) 1.0) (* (+ 1.0 m) (- 1.0 m)))
0.0b	(* (/ m v) (- 1.0 m))
1.2b	(/ (* (- (* (/ m v) (- 1.0 m)) 1.0) (* (+ 1.0 m) (- 1.0 m))) (+ 1.0 m))

rewrite286.0ms

Algorithm

rewrite-expression-head

Rules

62×	`frac-times`
41×	`flip3--` `flip--`
32×	`associate-*r/`
28×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
26×	`associate-/l/`
25×	`add-cbrt-cube` `add-exp-log`
22×	`flip3-+` `flip-+`
20×	`associate-l`
19×	`associate-*l/`
17×	`add-cube-cbrt`
14×	`times-frac`
13×	`pow1`
12×	`distribute-rgt-in` `distribute-lft-in`
11×	`associate-r`
9×	`prod-exp` `cbrt-unprod`
8×	`sub-neg`
5×	`pow-prod-down`
4×	`cbrt-undiv` `associate-/r*` `div-exp` `add-log-exp`
3×	`*-commutative` `distribute-lft-out` `unswap-sqr`
2×	`associate-/r/` `div-inv` `distribute-lft-out--` `difference-of-squares`
1×	`clear-num` `frac-2neg` `associate-/l*`

Counts

4 → 180

Calls

4 calls:

38.0ms	(* (+ 1.0 m) (- 1.0 m))
110.0ms	(* (- (* (/ m v) (- 1.0 m)) 1.0) (* (+ 1.0 m) (- 1.0 m)))
32.0ms	(* (/ m v) (- 1.0 m))
98.0ms	(/ (* (- (* (/ m v) (- 1.0 m)) 1.0) (* (+ 1.0 m) (- 1.0 m))) (+ 1.0 m))

series299.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(* (+ 1.0 m) (- 1.0 m))
92.0ms	(* (- (* (/ m v) (- 1.0 m)) 1.0) (* (+ 1.0 m) (- 1.0 m)))
50.0ms	(* (/ m v) (- 1.0 m))
51.0ms	(/ (* (- (* (/ m v) (- 1.0 m)) 1.0) (* (+ 1.0 m) (- 1.0 m))) (+ 1.0 m))

simplify1.5s

Counts

192 → 192

Iterations

Iter	Nodes
done	5001
1	956
0	287

prune1.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes100.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	9
1	9
0	8

end0.0ms

sample1.5s

Algorithm

intervals

Results

847.0ms	13862×	body	80	valid
329.0ms	13862×	pre	80	true