Details

sample190.0ms

Algorithm

intervals

Results

55.0ms	426×	body	80	valid
12.0ms	426×	pre	80	true

simplify3.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	13
1	21	13
2	94	13
3	1038	13
done	5000	13

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

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))

rewrite224.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
18×	`*-un-lft-identity`
13×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `associate-r`
9×	`flip3--` `flip--`
8×	`pow1` `associate-l`
6×	`associate-*r/` `add-log-exp`
5×	`sub-neg`
4×	`distribute-rgt-in` `frac-times` `distribute-lft-in` `distribute-lft-out--` `difference-of-squares`
3×	`times-frac` `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` `div-inv` `associate-/l*`

Counts

4 → 97

Calls

4 calls:

37.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
42.0ms	(* m (- 1.0 m))
35.0ms	(/ (* m (- 1.0 m)) v)
105.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series223.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
75.0ms	(* m (- 1.0 m))
48.0ms	(/ (* m (- 1.0 m)) v)
54.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify11.6s

Counts

109 → 109

Iterations

Useful iterations: done (11.6s)

Iter	Nodes	Cost
0	155	1545
1	3212	1503
done	5000	1389

prune327.0ms

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	(* 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)))

rewrite328.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log` `add-cbrt-cube`
20×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
13×	`associate-r`
11×	`associate-l`
10×	`pow1` `add-cube-cbrt` `associate-*r/`
8×	`flip3--` `flip--`
7×	`prod-exp` `cbrt-unprod`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`cbrt-undiv` `frac-times` `sub-neg` `div-exp` `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 → 107

Calls

4 calls:

38.0ms	(* v (+ 1.0 m))
169.0ms	(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) (- 1.0 m))
58.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))
57.0ms	(* m (- (* 1.0 1.0) (* m m)))

series390.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* v (+ 1.0 m))
98.0ms	(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) (- 1.0 m))
93.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))
139.0ms	(* m (- (* 1.0 1.0) (* m m)))

simplify8.4s

Counts

119 → 119

Iterations

Useful iterations: done (8.4s)

Iter	Nodes	Cost
0	195	2366
1	3654	2277
done	5001	2023

prune401.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite624.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
18×	`*-un-lft-identity`
13×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt`
9×	`associate-r`
8×	`pow1` `flip3--` `associate-l` `flip--`
6×	`associate-*r/` `add-log-exp`
4×	`frac-times` `times-frac` `associate-/l*`
3×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `prod-exp` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `distribute-rgt-out--` `flip3-+` `unpow3` `div-sub` `div-exp` `pow-prod-down` `associate-l/` `associate-/r/` `-commutative` `flip-+` `associate-/l/` `unswap-sqr`
1×	`associate--l-` `frac-2neg` `diff-log` `clear-num` `associate-/r*` `div-inv` `distribute-lft-out`

Counts

4 → 100

Calls

4 calls:

170.0ms	(- (/ (- (* 1.0 m) (pow m 3)) (* v (+ 1.0 m))) 1.0)
36.0ms	(* v (+ 1.0 m))
378.0ms	(* (- (/ (- (* 1.0 m) (pow m 3)) (* v (+ 1.0 m))) 1.0) (- 1.0 m))
36.0ms	(/ (- (* 1.0 m) (pow m 3)) (* v (+ 1.0 m)))

series342.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(- (/ (- (* 1.0 m) (pow m 3)) (* v (+ 1.0 m))) 1.0)
47.0ms	(* v (+ 1.0 m))
102.0ms	(* (- (/ (- (* 1.0 m) (pow m 3)) (* v (+ 1.0 m))) 1.0) (- 1.0 m))
106.0ms	(/ (- (* 1.0 m) (pow m 3)) (* v (+ 1.0 m)))

simplify6.3s

Counts

112 → 112

Iterations

Useful iterations: done (6.3s)

Iter	Nodes	Cost
0	182	2265
1	1855	2203
done	5000	2025

prune384.0ms

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

rewrite217.0ms

Algorithm

rewrite-expression-head

Rules

57×	`add-sqr-sqrt`
52×	`*-un-lft-identity`
45×	`times-frac`
32×	`add-cube-cbrt`
27×	`associate-r`
20×	`add-exp-log` `add-cbrt-cube`
16×	`associate-l`
10×	`difference-of-squares`
9×	`distribute-lft-out`
8×	`pow1` `flip3--` `flip--`
6×	`add-log-exp`
5×	`cbrt-undiv` `frac-times` `div-exp` `prod-exp` `cbrt-unprod` `unswap-sqr`
4×	`associate-/r` `associate-/r/` `associate-/l`
3×	`sub-neg` `associate-r/` `associate-l/` `div-inv`
2×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `pow-prod-down` `*-commutative` `flip-+` `associate-/l/`
1×	`frac-2neg` `diff-log` `div-sub` `clear-num` `distribute-lft-out--`

Counts

4 → 144

Calls

4 calls:

19.0ms	(- (* (/ m v) (/ (- 1.0 (* m m)) (+ 1.0 m))) 1.0)
102.0ms	(* (- (* (/ m v) (/ (- 1.0 (* m m)) (+ 1.0 m))) 1.0) (- 1.0 m))
58.0ms	(* (/ m v) (/ (- 1.0 (* m m)) (+ 1.0 m)))
30.0ms	(/ (- 1.0 (* m m)) (+ 1.0 m))

series406.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(- (* (/ m v) (/ (- 1.0 (* m m)) (+ 1.0 m))) 1.0)
116.0ms	(* (- (* (/ m v) (/ (- 1.0 (* m m)) (+ 1.0 m))) 1.0) (- 1.0 m))
96.0ms	(* (/ m v) (/ (- 1.0 (* m m)) (+ 1.0 m)))
119.0ms	(/ (- 1.0 (* m m)) (+ 1.0 m))

simplify3.2s

Counts

156 → 156

Iterations

Useful iterations: done (3.2s)

Iter	Nodes	Cost
0	241	3144
1	4362	3035
done	5002	2797

prune554.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes59.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	19
1	15	19
done	15	19

end0.0ms

sample2.3s

Algorithm

intervals

Results

876.0ms	13899×	pre	80	true
866.0ms	13899×	body	80	valid