Details

sample134.0ms

Algorithm

intervals

Results

16.0ms	463×	body	80	valid
8.0ms	463×	pre	80	true

simplify4.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	1604
4	395
3	112
2	40
1	16
0	8

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

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)

rewrite163.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
36×	`prod-diff`
33×	`add-cube-cbrt`
22×	`distribute-rgt-in` `distribute-lft-in`
12×	`add-cbrt-cube` `add-exp-log`
10×	`associate-r`
8×	`flip3--` `associate-l` `flip--`
7×	`pow1`
6×	`associate-*r/`
4×	`frac-times` `sub-neg`
3×	`expm1-log1p-u` `associate-/r*` `times-frac` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `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 → 125

Calls

3 calls:

24.0ms	(* m (- 1.0 m))
113.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
19.0ms	(/ (* m (- 1.0 m)) v)

series188.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(* m (- 1.0 m))
56.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
57.0ms	(/ (* m (- 1.0 m)) v)

simplify2.1s

Counts

134 → 134

Iterations

Iter	Nodes
done	5000
2	3423
1	587
0	223

prune606.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize13.0ms

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))

rewrite373.0ms

Algorithm

rewrite-expression-head

Rules

126×	`times-frac`
111×	`add-sqr-sqrt`
102×	`*-un-lft-identity`
74×	`add-cube-cbrt`
21×	`associate-/r*`
18×	`prod-diff`
16×	`difference-of-squares`
14×	`distribute-lft-out--`
11×	`distribute-rgt-in` `distribute-lft-in`
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×	`expm1-log1p-u` `sub-neg` `associate-l/` `associate-r/` `log1p-expm1-u` `add-log-exp`
1×	`clear-num` `frac-2neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 160

Calls

2 calls:

27.0ms	(/ m (/ v (- 1.0 m)))
331.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

series116.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(/ m (/ v (- 1.0 m)))
51.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

simplify2.4s

Counts

166 → 166

Iterations

Iter	Nodes
done	5000
2	4784
1	835
0	319

prune871.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (fma 1 1.0 (- (* (sqrt m) (sqrt m)))) (- (/ m (/ v (- 1.0 m))) 1.0))
0.5b	(* (sqrt m) (sqrt m))
0.5b	(* (sqrt m) (sqrt m))
58.3b	(fma (- (sqrt m)) (sqrt m) (* (sqrt m) (sqrt m)))

rewrite425.0ms

Algorithm

rewrite-expression-head

Rules

651×	`times-frac`
595×	`add-sqr-sqrt`
562×	`*-un-lft-identity`
452×	`add-cube-cbrt`
408×	`prod-diff`
206×	`distribute-rgt-in` `distribute-lft-in`
57×	`difference-of-squares`
55×	`distribute-lft-out--`
42×	`associate-/r/`
36×	`pow1` `sqrt-prod`
24×	`div-inv`
19×	`flip3--` `associate-r` `flip--`
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`
4×	`expm1-log1p-u` `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/`
1×	`fma-udef`

Counts

4 → 550

Calls

4 calls:

317.0ms	(* (fma 1 1.0 (- (* (sqrt m) (sqrt m)))) (- (/ m (/ v (- 1.0 m))) 1.0))
17.0ms	(* (sqrt m) (sqrt m))
21.0ms	(* (sqrt m) (sqrt m))
1.0ms	(fma (- (sqrt m)) (sqrt m) (* (sqrt m) (sqrt m)))

series263.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(* (fma 1 1.0 (- (* (sqrt m) (sqrt m)))) (- (/ m (/ v (- 1.0 m))) 1.0))
18.0ms	(* (sqrt m) (sqrt m))
17.0ms	(* (sqrt m) (sqrt m))
137.0ms	(fma (- (sqrt m)) (sqrt m) (* (sqrt m) (sqrt m)))

simplify1.9s

Counts

562 → 562

Iterations

Iter	Nodes
done	5000
1	1711
0	853

prune2.7s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 1.0 (/ m v)) (/ (* m m) v))
0.0b	(* (- (- (* 1.0 (/ m v)) (/ (* m m) v)) 1.0) (- 1.0 m))
13.2b	(/ (* m m) v)

rewrite283.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 102

Calls

3 calls:

19.0ms	(- (* 1.0 (/ m v)) (/ (* m m) v))
253.0ms	(* (- (- (* 1.0 (/ m v)) (/ (* m m) v)) 1.0) (- 1.0 m))
8.0ms	(/ (* m m) v)

series108.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(- (* 1.0 (/ m v)) (/ (* m m) v))
42.0ms	(* (- (- (* 1.0 (/ m v)) (/ (* m m) v)) 1.0) (- 1.0 m))
21.0ms	(/ (* m m) v)

simplify2.9s

Counts

111 → 111

Iterations

Iter	Nodes
done	5000
2	4800
1	690
0	237

prune670.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes99.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	24
1	24
0	17

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.2s	13862×	body	80	valid
294.0ms	13862×	pre	80	true