Details

sample142.0ms

Algorithm

intervals

Results

28.0ms	452×	body	80	valid
13.0ms	452×	pre	80	true

simplify1.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	13
1	16	13
2	40	13
3	105	13
4	360	13
5	1338	13
done	5000	13

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

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)

rewrite176.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
10×	`*-un-lft-identity`
9×	`add-exp-log` `add-cbrt-cube`
7×	`flip3--` `flip--`
6×	`add-cube-cbrt`
5×	`associate-r` `associate-l`
4×	`pow1` `frac-times` `associate-*r/`
3×	`times-frac` `associate-/r*`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `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 → 57

Calls

2 calls:

132.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
38.0ms	(/ (* m (- 1.0 m)) v)

series103.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
59.0ms	(/ (* m (- 1.0 m)) v)

simplify1.4s

Counts

63 → 63

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	129	1073
1	375	1035
2	2077	963
done	5001	957

prune245.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize17.0ms

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))

rewrite533.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 175

Calls

3 calls:

12.0ms	(/ v (- 1.0 m))
23.0ms	(/ m (/ v (- 1.0 m)))
490.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

series153.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(/ v (- 1.0 m))
44.0ms	(/ m (/ v (- 1.0 m)))
42.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

simplify2.1s

Counts

184 → 184

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	293	2946
1	787	2803
2	4235	2669
done	5000	2664

prune583.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize18.0ms

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))

rewrite466.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt`
32×	`*-un-lft-identity`
28×	`times-frac`
26×	`add-cube-cbrt`
23×	`associate-l`
22×	`add-exp-log` `add-cbrt-cube`
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×	`flip3-+` `associate-*l/` `flip-+` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in` `div-inv` `unswap-sqr`
2×	`sub-neg` `frac-2neg` `pow-prod-down` `clear-num` `*-commutative` `distribute-lft-out--`
1×	`distribute-lft-out`

Counts

4 → 139

Calls

4 calls:

42.0ms	(/ m (* (/ v (- (* 1.0 1.0) (* m m))) (+ 1.0 m)))
311.0ms	(* (- (/ m (* (/ v (- (* 1.0 1.0) (* m m))) (+ 1.0 m))) 1.0) (- 1.0 m))
14.0ms	(/ v (- (* 1.0 1.0) (* m m)))
88.0ms	(* (/ v (- (* 1.0 1.0) (* m m))) (+ 1.0 m))

series408.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(/ m (* (/ v (- (* 1.0 1.0) (* m m))) (+ 1.0 m)))
89.0ms	(* (- (/ m (* (/ v (- (* 1.0 1.0) (* m m))) (+ 1.0 m))) 1.0) (- 1.0 m))
101.0ms	(/ v (- (* 1.0 1.0) (* m m)))
96.0ms	(* (/ v (- (* 1.0 1.0) (* m m))) (+ 1.0 m))

simplify2.8s

Counts

151 → 151

Iterations

Useful iterations: 2 (920.0ms)

Iter	Nodes	Cost
0	264	3210
1	859	3119
2	4973	2837
done	5000	2837

prune666.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize17.0ms

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))

rewrite729.0ms

Algorithm

rewrite-expression-head

Rules

45×	`times-frac`
43×	`flip3--` `flip--`
41×	`associate-/r/`
39×	`add-sqr-sqrt`
38×	`add-exp-log` `add-cbrt-cube`
32×	`*-un-lft-identity`
28×	`frac-times`
26×	`add-cube-cbrt`
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×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-/l*` `add-log-exp`
3×	`distribute-lft-out--`
2×	`frac-2neg` `pow-prod-down` `clear-num` `*-commutative` `associate-/l/` `unswap-sqr`

Counts

4 → 175

Calls

4 calls:

42.0ms	(/ m (/ (* v (- (* 1.0 1.0) (* m m))) (* (- (* 1.0 1.0) (* m m)) (- 1.0 m))))
543.0ms	(* (- (/ m (/ (* v (- (* 1.0 1.0) (* m m))) (* (- (* 1.0 1.0) (* m m)) (- 1.0 m)))) 1.0) (- 1.0 m))
64.0ms	(/ (* v (- (* 1.0 1.0) (* m m))) (* (- (* 1.0 1.0) (* m m)) (- 1.0 m)))
71.0ms	(* (- (* 1.0 1.0) (* m m)) (- 1.0 m))

series210.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(/ m (/ (* v (- (* 1.0 1.0) (* m m))) (* (- (* 1.0 1.0) (* m m)) (- 1.0 m))))
56.0ms	(* (- (/ m (/ (* v (- (* 1.0 1.0) (* m m))) (* (- (* 1.0 1.0) (* m m)) (- 1.0 m)))) 1.0) (- 1.0 m))
45.0ms	(/ (* v (- (* 1.0 1.0) (* m m))) (* (- (* 1.0 1.0) (* m m)) (- 1.0 m)))
39.0ms	(* (- (* 1.0 1.0) (* m m)) (- 1.0 m))

simplify594.0ms

Counts

187 → 187

Iterations

Useful iterations: done (580.0ms)

Iter	Nodes	Cost
0	313	6497
1	989	6256
done	5000	5432

prune825.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes71.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.3s	13779×	body	80	valid
373.0ms	13779×	pre	80	true