Details

sample82.0ms

Algorithm

intervals

Results

17.0ms	458×	body	80	valid
9.0ms	458×	pre	80	true

simplify4.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	13
1	16	13
2	40	13
3	103	13
4	343	13
5	939	13
6	2377	13
done	5000	13

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

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

rewrite205.0ms

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)
22.0ms	(* m (- 1.0 m))
32.0ms	(/ (* m (- 1.0 m)) v)
110.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series245.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
75.0ms	(* m (- 1.0 m))
54.0ms	(/ (* m (- 1.0 m)) v)
74.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify1.2s

Counts

109 → 109

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	155	1545
1	397	1497
2	1453	1377
done	5001	1335

prune377.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite674.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 125

Calls

4 calls:

99.0ms	(/ (* (* m (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m))) v)
402.0ms	(* (- (/ (* (* m (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m))) v) 1.0) (- 1.0 m))
50.0ms	(* m (+ (sqrt 1.0) (sqrt m)))
113.0ms	(* (* m (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))

series1.5s

Counts

4 → 12

Calls

4 calls:

884.0ms	(/ (* (* m (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m))) v)
205.0ms	(* (- (/ (* (* m (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m))) v) 1.0) (- 1.0 m))
100.0ms	(* m (+ (sqrt 1.0) (sqrt m)))
328.0ms	(* (* m (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))

simplify2.1s

Counts

137 → 137

Iterations

Useful iterations: 2 (840.0ms)

Iter	Nodes	Cost
0	299	3227
1	881	2234
2	3968	1946
done	5000	1946

prune449.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite234.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 106

Calls

4 calls:

64.0ms	(+ (* 1.0 (- (/ (* m (- 1.0 m)) v) 1.0)) (* (- m) (- (/ (* m (- 1.0 m)) v) 1.0)))
36.0ms	(/ (* m (- 1.0 m)) v)
31.0ms	(/ (* m (- 1.0 m)) v)
95.0ms	(* (- m) (- (/ (* m (- 1.0 m)) v) 1.0))

series230.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(+ (* 1.0 (- (/ (* m (- 1.0 m)) v) 1.0)) (* (- m) (- (/ (* m (- 1.0 m)) v) 1.0)))
49.0ms	(/ (* m (- 1.0 m)) v)
52.0ms	(/ (* m (- 1.0 m)) v)
50.0ms	(* (- m) (- (/ (* m (- 1.0 m)) v) 1.0))

simplify1.6s

Counts

118 → 118

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	174	2243
1	528	1977
2	2114	1772
done	5002	1739

prune365.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1.0 (- (/ (* m (- 1.0 m)) v) 1.0)) (- (+ (* 1.0 m) (/ (pow m 3) v)) (* 1.0 (/ (pow m 2) v))))
0.0b	(/ (* m (- 1.0 m)) v)
7.9b	(/ (pow m 3) v)
9.3b	(/ (pow m 2) v)

rewrite463.0ms

Algorithm

rewrite-expression-head

Rules

63×	`times-frac`
48×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
24×	`unpow-prod-down`
21×	`associate-/l*`
19×	`add-exp-log`
14×	`associate-*r/`
13×	`add-cbrt-cube` `add-log-exp`
12×	`cube-prod`
9×	`associate-/r*`
8×	`div-exp` `frac-add` `sqr-pow`
7×	`flip3--` `flip--`
4×	`pow1` `cbrt-undiv` `cube-mult` `associate-+l+` `unpow3` `sum-log` `frac-sub` `unpow2`
3×	`sub-neg` `associate-+r+` `frac-2neg` `flip3-+` `clear-num` `flip-+` `div-inv`
2×	`distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `diff-log` `pow-exp` `associate-/l/`
1×	`+-commutative` `associate-+r-` `prod-exp` `associate--l+` `cbrt-unprod`

Counts

4 → 166

Calls

4 calls:

385.0ms	(+ (* 1.0 (- (/ (* m (- 1.0 m)) v) 1.0)) (- (+ (* 1.0 m) (/ (pow m 3) v)) (* 1.0 (/ (pow m 2) v))))
33.0ms	(/ (* m (- 1.0 m)) v)
20.0ms	(/ (pow m 3) v)
18.0ms	(/ (pow m 2) v)

series164.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(+ (* 1.0 (- (/ (* m (- 1.0 m)) v) 1.0)) (- (+ (* 1.0 m) (/ (pow m 3) v)) (* 1.0 (/ (pow m 2) v))))
56.0ms	(/ (* m (- 1.0 m)) v)
31.0ms	(/ (pow m 3) v)
22.0ms	(/ (pow m 2) v)

simplify2.0s

Counts

178 → 178

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	323	3562
1	833	3198
2	3421	3006
done	5000	2994

prune805.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes105.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	31
1	26	31
done	26	31

end0.0ms

sample1.7s

Algorithm

intervals

Results

914.0ms	13849×	body	80	valid
366.0ms	13849×	pre	80	true