Details

sample110.0ms

Algorithm

intervals

Results

26.0ms	433×	body	80	valid
11.0ms	433×	pre	80	true

simplify2.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	1643
5	472
4	189
3	72
2	34
1	16
0	8

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(* m (- 1.0 m))
0.0b	(/ (* m (- 1.0 m)) v)
0.2b	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

rewrite200.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 95

Calls

3 calls:

37.0ms	(* m (- 1.0 m))
35.0ms	(/ (* m (- 1.0 m)) v)
120.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series223.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(* m (- 1.0 m))
76.0ms	(/ (* m (- 1.0 m)) v)
78.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify1.4s

Counts

104 → 104

Iterations

Iter	Nodes
done	5000
2	2264
1	454
0	177

prune487.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 1.0 m) (- (* m m)))
0.0b	(/ (+ (* 1.0 m) (- (* m m))) v)
0.2b	(* (- (/ (+ (* 1.0 m) (- (* m m))) v) 1.0) m)

rewrite278.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt`
13×	`times-frac`
7×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
6×	`associate-l`
5×	`distribute-lft-neg-in` `pow1` `distribute-rgt-out`
4×	`associate-/l*`
3×	`expm1-log1p-u` `associate-/r` `div-sub` `associate-r*` `log1p-expm1-u`
2×	`neg-sub0` `associate-+r-` `sum-log` `flip3-+` `unsub-neg` `associate-*l/` `flip-+` `difference-of-squares` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `fma-def` `frac-2neg` `flip3--` `div-exp` `pow-prod-down` `neg-log` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `flip--` `distribute-lft-out--` `unswap-sqr`

Counts

3 → 82

Calls

3 calls:

14.0ms	(+ (* 1.0 m) (- (* m m)))
23.0ms	(/ (+ (* 1.0 m) (- (* m m))) v)
237.0ms	(* (- (/ (+ (* 1.0 m) (- (* m m))) v) 1.0) m)

series247.0ms

Counts

3 → 9

Calls

3 calls:

93.0ms	(+ (* 1.0 m) (- (* m m)))
85.0ms	(/ (+ (* 1.0 m) (- (* m m))) v)
68.0ms	(* (- (/ (+ (* 1.0 m) (- (* m m))) v) 1.0) m)

simplify1.8s

Counts

91 → 91

Iterations

Iter	Nodes
done	5001
2	2160
1	381
0	145

prune446.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ m (/ v m)) m)
0.0b	(- (* 1.0 (- (/ m (/ v m)) m)) (/ (pow m 3) v))
0.2b	(/ m (/ v m))
8.7b	(/ (pow m 3) v)

rewrite299.0ms

Algorithm

rewrite-expression-head

Rules

810×	`times-frac`
584×	`add-sqr-sqrt`
578×	`*-un-lft-identity`
575×	`add-cube-cbrt`
436×	`prod-diff`
268×	`associate--l+`
134×	`distribute-rgt-in` `distribute-lft-in`
47×	`div-inv`
45×	`fma-neg`
21×	`unpow-prod-down` `cube-prod`
16×	`associate-/r*`
15×	`associate-/l*`
14×	`add-exp-log`
12×	`associate-/r/`
11×	`add-cbrt-cube`
8×	`add-log-exp`
7×	`cube-mult` `unpow3` `sqr-pow`
6×	`div-exp`
4×	`expm1-log1p-u` `pow1` `cbrt-undiv` `sub-neg` `log1p-expm1-u`
3×	`flip3--` `flip--` `difference-of-squares`
2×	`clear-num` `frac-2neg` `diff-log` `associate-*r/` `frac-sub`
1×	`pow-to-exp` `distribute-rgt-out--` `pow-exp` `distribute-lft-out--`

Counts

4 → 659

Calls

4 calls:

72.0ms	(- (/ m (/ v m)) m)
124.0ms	(- (* 1.0 (- (/ m (/ v m)) m)) (/ (pow m 3) v))
11.0ms	(/ m (/ v m))
8.0ms	(/ (pow m 3) v)

series151.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(- (/ m (/ v m)) m)
56.0ms	(- (* 1.0 (- (/ m (/ v m)) m)) (/ (pow m 3) v))
20.0ms	(/ m (/ v m))
30.0ms	(/ (pow m 3) v)

simplify797.0ms

Counts

671 → 671

Iterations

Iter	Nodes
done	5000
1	1616
0	601

prune4.9s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ m (/ v m)) m)
0.0b	(- (* 1.0 (- (/ m (/ v m)) m)) (* (* m m) (/ m v)))
0.2b	(/ m (/ v m))
2.5b	(* (* m m) (/ m v))

rewrite271.0ms

Algorithm

rewrite-expression-head

Rules

748×	`times-frac`
547×	`add-sqr-sqrt`
538×	`*-un-lft-identity`
535×	`add-cube-cbrt`
397×	`prod-diff`
268×	`associate--l+`
134×	`distribute-rgt-in` `distribute-lft-in`
46×	`div-inv`
45×	`fma-neg`
21×	`add-cbrt-cube` `add-exp-log`
13×	`associate-/r` `associate-r*`
12×	`associate-/r/`
9×	`pow1`
8×	`add-log-exp`
6×	`prod-exp` `cbrt-unprod`
5×	`cbrt-undiv` `div-exp` `associate-*r/`
4×	`expm1-log1p-u` `sub-neg` `log1p-expm1-u`
3×	`flip3--` `pow-prod-down` `flip--` `associate-/l*` `difference-of-squares`
2×	`diff-log` `frac-sub` `unswap-sqr`
1×	`clear-num` `frac-2neg` `distribute-rgt-out--` `associate-l` `*-commutative` `distribute-lft-out--`

Counts

4 → 590

Calls

4 calls:

62.0ms	(- (/ m (/ v m)) m)
124.0ms	(- (* 1.0 (- (/ m (/ v m)) m)) (* (* m m) (/ m v)))
14.0ms	(/ m (/ v m))
22.0ms	(* (* m m) (/ m v))

series144.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(- (/ m (/ v m)) m)
48.0ms	(- (* 1.0 (- (/ m (/ v m)) m)) (* (* m m) (/ m v)))
30.0ms	(/ m (/ v m))
30.0ms	(* (* m m) (/ m v))

simplify1.0s

Counts

602 → 602

Iterations

Iter	Nodes
done	5001
1	1174
0	430

prune3.7s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes149.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	13
1	13
0	11

end0.0ms

sample1.7s

Algorithm

intervals

Results

867.0ms	13647×	body	80	valid
321.0ms	13647×	pre	80	true