Details

sample160.0ms

Algorithm

intervals

Results

27.0ms	426×	body	80	valid
13.0ms	426×	pre	80	true

simplify1.8s

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize11.0ms

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) m)

rewrite263.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
13×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt`
8×	`pow1` `associate-r` `associate-l`
6×	`add-log-exp`
4×	`flip3--` `associate-*r/` `flip--`
3×	`sub-neg` `times-frac` `prod-exp` `associate-/r*` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `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 → 85

Calls

4 calls:

32.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
42.0ms	(* m (- 1.0 m))
26.0ms	(/ (* m (- 1.0 m)) v)
159.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series225.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
88.0ms	(* m (- 1.0 m))
50.0ms	(/ (* m (- 1.0 m)) v)
60.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify848.0ms

Counts: 97 → 97

prune250.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* m (/ (- 1.0 m) v)) 1.0)
0.0b	(/ (- 1.0 m) v)
0.1b	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
0.3b	(* m (/ (- 1.0 m) v))

rewrite174.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
31×	`times-frac`
26×	`add-cube-cbrt`
22×	`associate-r`
13×	`add-exp-log` `add-cbrt-cube`
8×	`pow1`
7×	`distribute-lft-out--` `difference-of-squares`
6×	`associate-l` `add-log-exp`
5×	`associate-/l*`
3×	`flip3--` `prod-exp` `associate-/r*` `flip--` `cbrt-unprod` `unswap-sqr`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv` `associate-/l/`
1×	`sub-neg` `frac-2neg` `diff-log` `div-sub` `associate-*r/` `clear-num`

Counts

4 → 108

Calls

4 calls:

19.0ms	(- (* m (/ (- 1.0 m) v)) 1.0)
32.0ms	(/ (- 1.0 m) v)
89.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
29.0ms	(* m (/ (- 1.0 m) v))

series192.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(- (* m (/ (- 1.0 m) v)) 1.0)
65.0ms	(/ (- 1.0 m) v)
47.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
53.0ms	(* m (/ (- 1.0 m) v))

simplify884.0ms

Counts: 120 → 120

prune394.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v)
0.1b	(/ (- (pow 1.0 3) (pow m 3)) (* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v))
0.1b	(* (- (* m (/ (- (pow 1.0 3) (pow m 3)) (* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v))) 1.0) m)
0.3b	(* m (/ (- (pow 1.0 3) (pow m 3)) (* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v)))

rewrite784.0ms

Algorithm

rewrite-expression-head

Rules

91×	`add-sqr-sqrt`
50×	`times-frac`
48×	`difference-of-squares`
43×	`*-un-lft-identity`
37×	`associate-r`
36×	`unpow-prod-down` `cube-prod`
25×	`associate-/l*`
24×	`sqr-pow`
22×	`add-exp-log` `add-cbrt-cube`
15×	`distribute-lft-out--`
13×	`add-cube-cbrt`
10×	`pow1`
9×	`associate-l`
8×	`associate-*l/`
7×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `div-exp` `associate-/r/` `add-log-exp`
3×	`difference-cubes` `flip3-+` `pow-prod-down` `*-commutative` `flip-+` `unswap-sqr`
2×	`flip3--` `flip--` `div-inv` `associate-/l/`
1×	`frac-2neg` `div-sub` `associate-r/` `clear-num` `associate-/r`

Counts

4 → 161

Calls

4 calls:

58.0ms	(* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v)
130.0ms	(/ (- (pow 1.0 3) (pow m 3)) (* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v))
385.0ms	(* (- (* m (/ (- (pow 1.0 3) (pow m 3)) (* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v))) 1.0) m)
189.0ms	(* m (/ (- (pow 1.0 3) (pow m 3)) (* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v)))

series500.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v)
130.0ms	(/ (- (pow 1.0 3) (pow m 3)) (* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v))
163.0ms	(* (- (* m (/ (- (pow 1.0 3) (pow m 3)) (* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v))) 1.0) m)
161.0ms	(* m (/ (- (pow 1.0 3) (pow m 3)) (* (+ (* m (+ m 1.0)) (* 1.0 1.0)) v)))

simplify1.9s

Counts: 173 → 173

prune668.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- (* m (/ (/ (- 1.0 m) (sqrt v)) (sqrt v))) 1.0) m)
0.3b	(* m (/ (/ (- 1.0 m) (sqrt v)) (sqrt v)))
0.3b	(/ (- 1.0 m) (sqrt v))
0.3b	(/ (/ (- 1.0 m) (sqrt v)) (sqrt v))

rewrite441.0ms

Algorithm

rewrite-expression-head

Rules

838×	`times-frac`
582×	`add-sqr-sqrt`
556×	`*-un-lft-identity`
425×	`sqrt-prod`
386×	`add-cube-cbrt`
211×	`associate-r`
85×	`distribute-lft-out--` `difference-of-squares`
39×	`associate-/l*`
22×	`add-exp-log` `add-cbrt-cube`
16×	`div-inv`
12×	`associate-/r*`
8×	`pow1` `unswap-sqr`
7×	`cbrt-undiv` `div-exp`
6×	`associate-l`
4×	`prod-exp` `cbrt-unprod` `add-log-exp`
3×	`div-sub` `associate-/l/`
2×	`flip3--` `frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `flip--`
1×	`associate-*r/`

Counts

4 → 570

Calls

4 calls:

158.0ms	(* (- (* m (/ (/ (- 1.0 m) (sqrt v)) (sqrt v))) 1.0) m)
153.0ms	(* m (/ (/ (- 1.0 m) (sqrt v)) (sqrt v)))
20.0ms	(/ (- 1.0 m) (sqrt v))
55.0ms	(/ (/ (- 1.0 m) (sqrt v)) (sqrt v))

series265.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* (- (* m (/ (/ (- 1.0 m) (sqrt v)) (sqrt v))) 1.0) m)
72.0ms	(* m (/ (/ (- 1.0 m) (sqrt v)) (sqrt v)))
67.0ms	(/ (- 1.0 m) (sqrt v))
57.0ms	(/ (/ (- 1.0 m) (sqrt v)) (sqrt v))

simplify853.0ms

Counts: 582 → 582

prune1.6s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes116.0ms

Accuracy

-4% (0.2b remaining)

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

bsearch0.0ms

simplify5.0s

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.2s	13690×	body	80	valid
410.0ms	13690×	pre	80	true