Details

sample274.0ms

Algorithm

intervals

Results

11.0ms	447×	body	80	valid
6.0ms	447×	pre	80	true

simplify1.5s

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

rewrite90.0ms

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:

12.0ms	(* m (- 1.0 m))
11.0ms	(/ (* m (- 1.0 m)) v)
62.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series131.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(* m (- 1.0 m))
41.0ms	(/ (* m (- 1.0 m)) v)
44.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify1.0s

Counts

134 → 134

Iterations

Useful iterations: 2 (189.0ms)

Iter	Nodes	Cost
0	223	2618
1	512	2242
2	2432	1923
done	5001	1923

prune203.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite105.0ms

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` `distribute-rgt-out` `associate-r` `add-log-exp`
4×	`distribute-lft-neg-out` `frac-times` `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:

3.0ms	(+ (* 1.0 m) (* (- m) m))
11.0ms	(/ (+ (* 1.0 m) (* (- m) m)) v)
87.0ms	(* (- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0) (- 1.0 m))

series141.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(+ (* 1.0 m) (* (- m) m))
49.0ms	(/ (+ (* 1.0 m) (* (- m) m)) v)
36.0ms	(* (- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0) (- 1.0 m))

simplify1.0s

Counts

118 → 118

Iterations

Useful iterations: 2 (193.0ms)

Iter	Nodes	Cost
0	218	2726
1	520	2043
2	2442	1834
done	5001	1834

prune218.0ms

Pruning

5 alts after pruning (5 fresh and 0 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)))

rewrite197.0ms

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:

12.0ms	(* m (- 1.0 m))
12.0ms	(/ (* m (- 1.0 m)) v)
95.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
65.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

series359.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* m (- 1.0 m))
39.0ms	(/ (* m (- 1.0 m)) v)
134.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
141.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

simplify451.0ms

Counts

245 → 245

Iterations

Useful iterations: done (440.0ms)

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

prune483.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 1.0 m) (* (- m) m))
0.1b	(* (- (* (+ (* 1.0 m) (* (- m) m)) (/ 1 v)) 1.0) (- 1.0 m))
0.3b	(* (+ (* 1.0 m) (* (- m) m)) (/ 1 v))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 112

Calls

3 calls:

3.0ms	(+ (* 1.0 m) (* (- m) m))
40.0ms	(* (- (* (+ (* 1.0 m) (* (- m) m)) (/ 1 v)) 1.0) (- 1.0 m))
15.0ms	(* (+ (* 1.0 m) (* (- m) m)) (/ 1 v))

series138.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(+ (* 1.0 m) (* (- m) m))
38.0ms	(* (- (* (+ (* 1.0 m) (* (- m) m)) (/ 1 v)) 1.0) (- 1.0 m))
46.0ms	(* (+ (* 1.0 m) (* (- m) m)) (/ 1 v))

simplify1.4s

Counts

121 → 121

Iterations

Useful iterations: 2 (233.0ms)

Iter	Nodes	Cost
0	234	3005
1	603	2062
2	2931	1795
done	5001	1795

prune217.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes42.0ms

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	13	21
1	17	21
done	17	21

end0.0ms

sample691.0ms

Algorithm

intervals

Results

305.0ms	13788×	body	80	valid
172.0ms	13788×	pre	80	true