Details

sample124.0ms

Algorithm

intervals

Results

21.0ms	459×	body	80	valid
12.0ms	459×	pre	80	true

simplify5.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	2121
4	469
3	119
2	41
1	19
0	8

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(* m (- 1 m))
0.0b	(/ (* m (- 1 m)) v)
0.0b	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))

rewrite153.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
36×	`prod-diff`
33×	`add-cube-cbrt`
22×	`distribute-rgt-in` `distribute-lft-in`
12×	`add-cbrt-cube` `associate-r` `add-exp-log`
10×	`associate-l`
8×	`flip3--` `flip--`
7×	`pow1`
6×	`associate-*r/` `difference-of-squares`
4×	`frac-times` `sub-neg`
3×	`expm1-log1p-u` `associate-/r*` `times-frac` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `difference-of-sqr-1` `div-inv` `associate-/l*`

Counts

3 → 132

Calls

3 calls:

23.0ms	(* m (- 1 m))
21.0ms	(/ (* m (- 1 m)) v)
102.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))

series189.0ms

Counts

3 → 9

Calls

3 calls:

78.0ms	(* m (- 1 m))
66.0ms	(/ (* m (- 1 m)) v)
45.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))

simplify1.8s

Counts

141 → 141

Iterations

Iter	Nodes
done	5001
2	1620
1	571
0	226

prune506.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (fma 1 1 (- (* (sqrt m) (sqrt m)))) (- (/ (* m (- 1 m)) v) 1))
0.5b	(* (sqrt m) (sqrt m))
0.5b	(* (sqrt m) (sqrt m))
59.0b	(fma (- (sqrt m)) (sqrt m) (* (sqrt m) (sqrt m)))

rewrite200.0ms

Algorithm

rewrite-expression-head

Rules

78×	`add-sqr-sqrt`
51×	`*-un-lft-identity`
48×	`add-cube-cbrt`
42×	`prod-diff`
36×	`pow1` `sqrt-prod`
23×	`distribute-rgt-in` `distribute-lft-in`
19×	`associate-r`
18×	`times-frac`
16×	`sqrt-pow1` `pow1/2` `swap-sqr`
15×	`associate-l`
10×	`add-cbrt-cube` `add-exp-log` `pow-prod-up`
9×	`unswap-sqr`
7×	`pow-prod-down`
6×	`pow-sqr` `div-inv`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`prod-exp` `*-commutative` `cbrt-unprod`
2×	`pow2` `sub-neg` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `associate-*r/` `difference-of-squares`
1×	`flip3--` `difference-of-sqr-1` `fma-udef` `flip--` `distribute-lft-out--`

Counts

4 → 188

Calls

4 calls:

153.0ms	(* (fma 1 1 (- (* (sqrt m) (sqrt m)))) (- (/ (* m (- 1 m)) v) 1))
19.0ms	(* (sqrt m) (sqrt m))
13.0ms	(* (sqrt m) (sqrt m))
0.0ms	(fma (- (sqrt m)) (sqrt m) (* (sqrt m) (sqrt m)))

series314.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(* (fma 1 1 (- (* (sqrt m) (sqrt m)))) (- (/ (* m (- 1 m)) v) 1))
26.0ms	(* (sqrt m) (sqrt m))
26.0ms	(* (sqrt m) (sqrt m))
186.0ms	(fma (- (sqrt m)) (sqrt m) (* (sqrt m) (sqrt m)))

simplify1.8s

Counts

200 → 200

Iterations

Iter	Nodes
done	5000
2	1265
1	525
0	245

prune939.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize89.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (sqrt m) (sqrt m))
0.5b	(* (sqrt m) (sqrt m))
34.9b	(cbrt (* (* (* (sqrt m) (sqrt m)) (sqrt m)) (* (* (sqrt m) (sqrt m)) (sqrt m))))
59.0b	(fma (- (sqrt m)) (sqrt m) (* (sqrt m) (sqrt m)))

rewrite394.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
36×	`sqrt-prod`
34×	`pow1`
20×	`*-un-lft-identity` `add-cube-cbrt`
16×	`sqrt-pow1` `pow1/2` `swap-sqr`
12×	`associate-r` `associate-l`
10×	`pow-prod-up`
8×	`add-cbrt-cube` `add-exp-log` `unswap-sqr`
7×	`pow-prod-down`
6×	`pow-sqr`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `pow3` `prod-exp` `*-commutative` `cbrt-unprod`
1×	`cbrt-prod` `pow1/3` `rem-cbrt-cube` `fma-udef`

Counts

4 → 128

Calls

4 calls:

21.0ms	(* (sqrt m) (sqrt m))
13.0ms	(* (sqrt m) (sqrt m))
354.0ms	(cbrt (* (* (* (sqrt m) (sqrt m)) (sqrt m)) (* (* (sqrt m) (sqrt m)) (sqrt m))))
0.0ms	(fma (- (sqrt m)) (sqrt m) (* (sqrt m) (sqrt m)))

series211.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* (sqrt m) (sqrt m))
17.0ms	(* (sqrt m) (sqrt m))
18.0ms	(cbrt (* (* (* (sqrt m) (sqrt m)) (sqrt m)) (* (* (sqrt m) (sqrt m)) (sqrt m))))
160.0ms	(fma (- (sqrt m)) (sqrt m) (* (sqrt m) (sqrt m)))

simplify2.0s

Counts

140 → 140

Iterations

Iter	Nodes
done	5030
3	1648
2	463
1	200
0	97

prune788.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (sqrt m) (sqrt m))
0.5b	(* (sqrt m) (sqrt m))
34.9b	(cbrt (* (* (* (sqrt m) (sqrt m)) (* (sqrt m) (sqrt m))) (* (sqrt m) (sqrt m))))
59.0b	(fma (- (sqrt m)) (sqrt m) (cbrt (* (* (* (sqrt m) (sqrt m)) (* (sqrt m) (sqrt m))) (* (sqrt m) (sqrt m)))))

rewrite432.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
36×	`sqrt-prod`
34×	`pow1`
20×	`*-un-lft-identity` `add-cube-cbrt`
16×	`sqrt-pow1` `pow1/2` `swap-sqr`
12×	`associate-r` `associate-l`
10×	`pow-prod-up`
8×	`add-cbrt-cube` `add-exp-log` `unswap-sqr`
6×	`pow-prod-down` `pow-sqr`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`
1×	`cbrt-prod` `pow1/3` `pow3` `rem-cbrt-cube` `fma-udef`

Counts

4 → 128

Calls

4 calls:

27.0ms	(* (sqrt m) (sqrt m))
26.0ms	(* (sqrt m) (sqrt m))
375.0ms	(cbrt (* (* (* (sqrt m) (sqrt m)) (* (sqrt m) (sqrt m))) (* (sqrt m) (sqrt m))))
0.0ms	(fma (- (sqrt m)) (sqrt m) (cbrt (* (* (* (sqrt m) (sqrt m)) (* (sqrt m) (sqrt m))) (* (sqrt m) (sqrt m)))))

series200.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (sqrt m) (sqrt m))
28.0ms	(* (sqrt m) (sqrt m))
26.0ms	(cbrt (* (* (* (sqrt m) (sqrt m)) (* (sqrt m) (sqrt m))) (* (sqrt m) (sqrt m))))
123.0ms	(fma (- (sqrt m)) (sqrt m) (cbrt (* (* (* (sqrt m) (sqrt m)) (* (sqrt m) (sqrt m))) (* (sqrt m) (sqrt m)))))

simplify1.8s

Counts

140 → 140

Iterations

Iter	Nodes
done	5029
3	1678
2	474
1	200
0	97

prune741.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes96.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	12
1	12
0	8

end0.0ms

sample1.7s

Algorithm

intervals

Results

938.0ms	13662×	body	80	valid
481.0ms	13662×	pre	80	true