Details

sample106.0ms

Algorithm

intervals

Results

14.0ms	423×	body	80	valid
7.0ms	423×	pre	80	true

simplify2.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	13
1	16	13
2	40	13
3	112	13
4	396	13
5	1593	13
done	5000	13

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite244.0ms

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:

49.0ms	(* m (- 1.0 m))
154.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
28.0ms	(/ (* m (- 1.0 m)) v)

series225.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(* m (- 1.0 m))
67.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
91.0ms	(/ (* m (- 1.0 m)) v)

simplify2.4s

Counts

134 → 134

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	223	2618
1	586	2254
2	3426	1965
done	5001	1910

prune397.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite335.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
30×	`*-un-lft-identity`
26×	`add-cube-cbrt`
18×	`prod-diff`
13×	`times-frac`
11×	`distribute-rgt-in` `distribute-lft-in`
7×	`add-exp-log` `add-cbrt-cube`
6×	`flip3--` `associate-l` `flip--`
5×	`pow1` `associate-r` `distribute-lft-out` `add-log-exp`
4×	`frac-times` `distribute-rgt-neg-out` `associate-/l*`
3×	`expm1-log1p-u` `associate-/r*` `log1p-expm1-u` `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 → 109

Calls

3 calls:

8.0ms	(+ (* m 1.0) (* m (- m)))
266.0ms	(* (- (/ (+ (* m 1.0) (* m (- m))) v) 1.0) (- 1.0 m))
54.0ms	(/ (+ (* m 1.0) (* m (- m))) v)

series199.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(+ (* m 1.0) (* m (- m)))
47.0ms	(* (- (/ (+ (* m 1.0) (* m (- m))) v) 1.0) (- 1.0 m))
64.0ms	(/ (+ (* m 1.0) (* m (- m))) v)

simplify2.6s

Counts

118 → 118

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	219	2726
1	568	2202
2	3204	1873
done	5000	1849

prune371.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite371.0ms

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:

34.0ms	(* m (- (* 1.0 1.0) (* m m)))
43.0ms	(* v (+ 1.0 m))
240.0ms	(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) (- 1.0 m))
49.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))

series289.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(* m (- (* 1.0 1.0) (* m m)))
37.0ms	(* v (+ 1.0 m))
74.0ms	(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) (- 1.0 m))
83.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))

simplify617.0ms

Counts

147 → 147

Iterations

Useful iterations: done (608.0ms)

Iter	Nodes	Cost
0	255	3578
1	778	3334
done	5000	2972

prune518.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite441.0ms

Algorithm

rewrite-expression-head

Rules

114×	`prod-diff`
101×	`add-sqr-sqrt`
97×	`*-un-lft-identity`
85×	`add-cube-cbrt`
80×	`sqrt-prod`
61×	`distribute-rgt-in` `distribute-lft-in`
32×	`frac-times`
23×	`flip3--` `flip--`
21×	`times-frac`
20×	`associate-*l/`
18×	`add-exp-log` `add-cbrt-cube`
17×	`associate-r`
13×	`pow1`
12×	`flip3-+` `flip-+`
11×	`associate-l`
10×	`associate-*r/`
7×	`div-inv`
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×	`associate-/r` `-commutative`
2×	`cbrt-undiv` `div-exp` `associate-/l/` `distribute-lft-out` `unswap-sqr`
1×	`frac-2neg` `clear-num` `associate-/l*`

Counts

4 → 255

Calls

4 calls:

45.0ms	(* (- 1.0 m) m)
18.0ms	(/ (* (- 1.0 m) m) v)
193.0ms	(* (* (+ (sqrt 1.0) (sqrt m)) (- (/ (* (- 1.0 m) m) v) 1.0)) (- (sqrt 1.0) (sqrt m)))
154.0ms	(* (+ (sqrt 1.0) (sqrt m)) (- (/ (* (- 1.0 m) m) v) 1.0))

series571.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(* (- 1.0 m) m)
65.0ms	(/ (* (- 1.0 m) m) v)
215.0ms	(* (* (+ (sqrt 1.0) (sqrt m)) (- (/ (* (- 1.0 m) m) v) 1.0)) (- (sqrt 1.0) (sqrt m)))
210.0ms	(* (+ (sqrt 1.0) (sqrt m)) (- (/ (* (- 1.0 m) m) v) 1.0))

simplify1.0s

Counts

267 → 267

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	459	10141
1	1597	8555
done	5000	7823

prune993.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes92.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	16
1	17	16
done	17	16

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.2s	13598×	body	80	valid
380.0ms	13598×	pre	80	true