Details

sample171.0ms

Algorithm

intervals

Results

29.0ms	427×	body	80	valid
15.0ms	427×	pre	80	true

simplify2.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	8	11
1	16	11
2	34	11
3	72	11
4	189	11
5	475	11
6	1650	11
done	5000	11

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite209.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 93

Calls

3 calls:

52.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
27.0ms	(/ (* m (- 1.0 m)) v)
123.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series182.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
51.0ms	(/ (* m (- 1.0 m)) v)
85.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify1.6s

Counts

102 → 102

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	154	1657
1	402	1431
2	1867	1242
done	5000	1180

prune257.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite766.0ms

Algorithm

rewrite-expression-head

Rules

561×	`times-frac`
443×	`add-sqr-sqrt`
427×	`*-un-lft-identity`
327×	`add-cube-cbrt`
204×	`prod-diff`
68×	`fma-neg`
54×	`difference-of-squares`
50×	`distribute-lft-out--`
37×	`associate-/r/`
21×	`associate-/r*` `div-inv`
18×	`flip3--` `flip--`
10×	`add-exp-log` `add-cbrt-cube`
7×	`associate-l`
5×	`pow1` `add-log-exp`
3×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `associate-r` `log1p-expm1-u` `associate-/l*`
2×	`associate-*l/`
1×	`sub-neg` `frac-2neg` `diff-log` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 420

Calls

3 calls:

218.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
25.0ms	(/ m (/ v (- 1.0 m)))
454.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

series144.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
62.0ms	(/ m (/ v (- 1.0 m)))
49.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

simplify2.5s

Counts

429 → 429

Iterations

Useful iterations: 2 (979.0ms)

Iter	Nodes	Cost
0	457	10446
1	1126	8327
2	4844	7378
done	5000	7378

prune1.1s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* m (- 1.0 m)) v) 1.0)
0.1b	(/ (* m (- 1.0 m)) v)
0.2b	(* (sqrt m) (- (/ (* m (- 1.0 m)) v) 1.0))
0.4b	(* (* (sqrt m) (- (/ (* m (- 1.0 m)) v) 1.0)) (sqrt m))

rewrite361.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 168

Calls

4 calls:

31.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
40.0ms	(/ (* m (- 1.0 m)) v)
135.0ms	(* (sqrt m) (- (/ (* m (- 1.0 m)) v) 1.0))
146.0ms	(* (* (sqrt m) (- (/ (* m (- 1.0 m)) v) 1.0)) (sqrt m))

series311.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
63.0ms	(/ (* m (- 1.0 m)) v)
134.0ms	(* (sqrt m) (- (/ (* m (- 1.0 m)) v) 1.0))
87.0ms	(* (* (sqrt m) (- (/ (* m (- 1.0 m)) v) 1.0)) (sqrt m))

simplify2.0s

Counts

180 → 180

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	253	3948
1	661	3312
2	3392	2760
done	5000	2593

prune493.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt m))
0.2b	(* (sqrt (sqrt m)) (- (/ (* m (- 1.0 m)) v) 1.0))
0.4b	(* (* (sqrt (sqrt m)) (* (sqrt (sqrt m)) (- (/ (* m (- 1.0 m)) v) 1.0))) (sqrt m))
0.4b	(* (sqrt (sqrt m)) (* (sqrt (sqrt m)) (- (/ (* m (- 1.0 m)) v) 1.0)))

rewrite896.0ms

Algorithm

rewrite-expression-head

Rules

126×	`prod-diff`
115×	`distribute-rgt-in` `distribute-lft-in`
103×	`add-sqr-sqrt`
95×	`*-un-lft-identity`
93×	`add-cube-cbrt`
54×	`times-frac`
34×	`sqrt-prod`
22×	`pow1`
20×	`add-exp-log` `add-cbrt-cube`
19×	`associate-l`
18×	`div-inv`
12×	`associate-r`
10×	`associate-*r/` `pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`sub-neg`
4×	`expm1-log1p-u` `sqrt-pow1` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `*-commutative` `flip--` `unswap-sqr`
2×	`rem-sqrt-square` `pow1/2` `associate-*l/`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

4 → 247

Calls

4 calls:

3.0ms	(sqrt (sqrt m))
147.0ms	(* (sqrt (sqrt m)) (- (/ (* m (- 1.0 m)) v) 1.0))
498.0ms	(* (* (sqrt (sqrt m)) (* (sqrt (sqrt m)) (- (/ (* m (- 1.0 m)) v) 1.0))) (sqrt m))
230.0ms	(* (sqrt (sqrt m)) (* (sqrt (sqrt m)) (- (/ (* m (- 1.0 m)) v) 1.0)))

series530.0ms

Counts

4 → 12

Calls

4 calls:

210.0ms	(sqrt (sqrt m))
149.0ms	(* (sqrt (sqrt m)) (- (/ (* m (- 1.0 m)) v) 1.0))
69.0ms	(* (* (sqrt (sqrt m)) (* (sqrt (sqrt m)) (- (/ (* m (- 1.0 m)) v) 1.0))) (sqrt m))
103.0ms	(* (sqrt (sqrt m)) (* (sqrt (sqrt m)) (- (/ (* m (- 1.0 m)) v) 1.0)))

simplify890.0ms

Counts

259 → 259

Iterations

Useful iterations: done (875.0ms)

Iter	Nodes	Cost
0	392	8205
1	1176	6965
done	5000	4954

prune635.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes98.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	9	11
done	9	11

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.3s	13572×	body	80	valid
368.0ms	13572×	pre	80	true