Details

sample290.0ms

Algorithm

intervals

Results

11.0ms	451×	body	80	valid
6.0ms	451×	pre	80	true

simplify1.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	13
1	16	13
2	40	13
3	108	13
4	311	13
5	877	13
6	2900	13
done	5000	13

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 125

Calls

3 calls:

11.0ms	(* m (- 1.0 m))
57.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
13.0ms	(/ (* m (- 1.0 m)) v)

series132.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(* m (- 1.0 m))
40.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
46.0ms	(/ (* m (- 1.0 m)) v)

simplify951.0ms

Counts

134 → 134

Iterations

Useful iterations: 2 (174.0ms)

Iter	Nodes	Cost
0	223	2618
1	512	2242
2	2428	1923
done	5001	1923

prune208.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 104

Calls

3 calls:

3.0ms	(+ (* m 1.0) (* (- m) m))
79.0ms	(* (- (/ (+ (* m 1.0) (* (- m) m)) v) 1.0) (- 1.0 m))
9.0ms	(/ (+ (* m 1.0) (* (- m) m)) v)

series139.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(+ (* m 1.0) (* (- m) m))
38.0ms	(* (- (/ (+ (* m 1.0) (* (- m) m)) v) 1.0) (- 1.0 m))
46.0ms	(/ (+ (* m 1.0) (* (- m) m)) v)

simplify902.0ms

Counts

113 → 113

Iterations

Useful iterations: done (898.0ms)

Iter	Nodes	Cost
0	211	2682
1	513	2312
2	2273	1802
done	5000	1801

prune208.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite103.0ms

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:

9.0ms	(* v (+ 1.0 m))
11.0ms	(* m (- (* 1.0 1.0) (* m m)))
66.0ms	(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) (- 1.0 m))
11.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))

series236.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* v (+ 1.0 m))
71.0ms	(* m (- (* 1.0 1.0) (* m m)))
62.0ms	(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) (- 1.0 m))
70.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))

simplify1.3s

Counts

147 → 147

Iterations

Useful iterations: 2 (246.0ms)

Iter	Nodes	Cost
0	255	3578
1	684	3317
2	3813	2916
done	5000	2916

prune296.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite188.0ms

Algorithm

rewrite-expression-head

Rules

90×	`prod-diff`
87×	`add-sqr-sqrt`
83×	`*-un-lft-identity`
80×	`sqrt-prod`
71×	`add-cube-cbrt`
50×	`distribute-rgt-in` `distribute-lft-in`
32×	`frac-times`
23×	`flip3--` `flip--`
19×	`associate-r`
18×	`add-exp-log` `add-cbrt-cube`
16×	`associate-*l/`
14×	`associate-*r/`
13×	`pow1`
12×	`flip3-+` `flip-+`
9×	`associate-l`
6×	`prod-exp` `cbrt-unprod` `difference-of-squares`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `sub-neg` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp`
3×	`times-frac` `associate-/r` `-commutative`
2×	`cbrt-undiv` `div-exp` `associate-/l/` `distribute-lft-out` `unswap-sqr`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 233

Calls

4 calls:

13.0ms	(* m (- 1.0 m))
10.0ms	(/ (* m (- 1.0 m)) v)
91.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
62.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

series353.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* m (- 1.0 m))
36.0ms	(/ (* m (- 1.0 m)) v)
134.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
137.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

simplify406.0ms

Counts

245 → 245

Iterations

Useful iterations: done (396.0ms)

Iter	Nodes	Cost
0	427	8792
1	1255	7257
done	5001	7061

prune474.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes43.0ms

Accuracy

0% (0.0b 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	11	16
1	17	16
done	17	16

end0.0ms

sample681.0ms

Algorithm

intervals

Results

300.0ms	13536×	body	80	valid
171.0ms	13536×	pre	80	true