Details

sample502.0ms

Algorithm

intervals

Results

62.0ms	426×	body	80	valid
15.0ms	426×	pre	80	true

simplify3.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	8	13
1	21	13
2	96	13
3	906	13
done	5000	13

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite280.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 169

Calls

4 calls:

59.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
40.0ms	(* m (- 1.0 m))
22.0ms	(/ (* m (- 1.0 m)) v)
145.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series268.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
85.0ms	(* m (- 1.0 m))
74.0ms	(/ (* m (- 1.0 m)) v)
81.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify1.1s

Counts

181 → 181

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	265	3570
done	5000	2713

prune413.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* m (- 1.0 m)) v) 1.0)
0.0b	(* m (- 1.0 m))
0.0b	(/ (* m (- 1.0 m)) v)
0.0b	(* (* 1 (- (/ (* m (- 1.0 m)) v) 1.0)) (- 1.0 m))

rewrite288.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 168

Calls

4 calls:

42.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
47.0ms	(* m (- 1.0 m))
22.0ms	(/ (* m (- 1.0 m)) v)
170.0ms	(* (* 1 (- (/ (* m (- 1.0 m)) v) 1.0)) (- 1.0 m))

series224.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
66.0ms	(* m (- 1.0 m))
46.0ms	(/ (* m (- 1.0 m)) v)
69.0ms	(* (* 1 (- (/ (* m (- 1.0 m)) v) 1.0)) (- 1.0 m))

simplify993.0ms

Counts

180 → 180

Iterations

Useful iterations: done (982.0ms)

Iter	Nodes	Cost
0	278	3729
done	5000	2709

prune448.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite329.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 135

Calls

4 calls:

21.0ms	(* v (+ 1.0 m))
210.0ms	(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) (- 1.0 m))
37.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))
57.0ms	(* m (- (* 1.0 1.0) (* m m)))

series298.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* v (+ 1.0 m))
83.0ms	(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) (- 1.0 m))
82.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))
90.0ms	(* m (- (* 1.0 1.0) (* m m)))

simplify978.0ms

Counts

147 → 147

Iterations

Useful iterations: done (971.0ms)

Iter	Nodes	Cost
0	255	3578
done	5001	3266

prune564.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite765.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 169

Calls

4 calls:

457.0ms	(* (- (* (/ (* m (- (* 1.0 1.0) (* m m))) (* v (- (* 1.0 1.0) (* m m)))) (- 1.0 m)) 1.0) (- 1.0 m))
43.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* v (- (* 1.0 1.0) (* m m))))
190.0ms	(* (/ (* m (- (* 1.0 1.0) (* m m))) (* v (- (* 1.0 1.0) (* m m)))) (- 1.0 m))
68.0ms	(* m (- (* 1.0 1.0) (* m m)))

series245.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* (- (* (/ (* m (- (* 1.0 1.0) (* m m))) (* v (- (* 1.0 1.0) (* m m)))) (- 1.0 m)) 1.0) (- 1.0 m))
16.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* v (- (* 1.0 1.0) (* m m))))
72.0ms	(* (/ (* m (- (* 1.0 1.0) (* m m))) (* v (- (* 1.0 1.0) (* m m)))) (- 1.0 m))
101.0ms	(* m (- (* 1.0 1.0) (* m m)))

simplify773.0ms

Counts

181 → 181

Iterations

Useful iterations: done (762.0ms)

Iter	Nodes	Cost
0	291	6766
done	5000	3212

prune592.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes55.0ms

Accuracy

0% (0.1b 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	13	29
1	17	29
done	17	29

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.2s	13899×	body	80	valid
424.0ms	13899×	pre	80	true