Details

sample176.0ms

Algorithm

intervals

Results

16.0ms	426×	body	80	valid
8.0ms	426×	pre	80	true

simplify1.6s

Counts: 1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize72.0ms

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))

rewrite259.0ms

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:

22.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
23.0ms	(* m (- 1.0 m))
32.0ms	(/ (* m (- 1.0 m)) v)
174.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series251.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
80.0ms	(* m (- 1.0 m))
59.0ms	(/ (* m (- 1.0 m)) v)
80.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify913.0ms

Counts: 109 → 109

prune273.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize20.0ms

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	(* (* 1 (- (/ (* m (- 1.0 m)) v) 1.0)) (- 1.0 m))

rewrite278.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

40.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
25.0ms	(* m (- 1.0 m))
21.0ms	(/ (* m (- 1.0 m)) v)
186.0ms	(* (* 1 (- (/ (* m (- 1.0 m)) v) 1.0)) (- 1.0 m))

series235.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
91.0ms	(* m (- 1.0 m))
67.0ms	(/ (* m (- 1.0 m)) v)
48.0ms	(* (* 1 (- (/ (* m (- 1.0 m)) v) 1.0)) (- 1.0 m))

simplify1.1s

Counts: 108 → 108

prune281.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite445.0ms

Algorithm

rewrite-expression-head

Rules

32×	`frac-times`
27×	`add-sqr-sqrt`
23×	`flip3--` `*-un-lft-identity` `flip--`
19×	`associate-r`
18×	`add-exp-log` `add-cbrt-cube`
16×	`associate-*l/`
14×	`associate-*r/`
13×	`pow1`
12×	`flip3-+` `flip-+`
11×	`add-cube-cbrt`
9×	`associate-l`
8×	`sqrt-prod`
6×	`prod-exp` `cbrt-unprod` `difference-of-squares`
5×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down`
4×	`sub-neg` `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 → 135

Calls

4 calls:

34.0ms	(* m (- 1.0 m))
17.0ms	(/ (* m (- 1.0 m)) v)
248.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
134.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

series524.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* m (- 1.0 m))
61.0ms	(/ (* m (- 1.0 m)) v)
184.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
211.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

simplify566.0ms

Counts: 147 → 147

prune589.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite485.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-sqr-sqrt`
33×	`*-un-lft-identity`
25×	`add-exp-log` `add-cbrt-cube`
24×	`sqrt-prod`
21×	`times-frac`
20×	`associate-l`
18×	`difference-of-squares`
17×	`flip3--` `flip--`
14×	`associate-r`
13×	`add-cube-cbrt`
12×	`associate-/r*`
10×	`frac-times` `associate-/l/` `distribute-lft-out--`
8×	`pow1` `associate-*r/`
7×	`prod-exp` `cbrt-unprod`
6×	`cbrt-undiv` `div-exp`
5×	`associate-*l/`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-/r/` `add-log-exp`
3×	`div-inv`
2×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `associate-/l` `unswap-sqr`

Counts

4 → 149

Calls

4 calls:

16.0ms	(/ (* m (- 1.0 m)) v)
76.0ms	(/ (* (- 1.0 m) (- (/ (* m (- 1.0 m)) v) 1.0)) (- (sqrt 1.0) (sqrt m)))
248.0ms	(* (/ (* (- 1.0 m) (- (/ (* m (- 1.0 m)) v) 1.0)) (- (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
139.0ms	(* (- 1.0 m) (- (/ (* m (- 1.0 m)) v) 1.0))

series607.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(/ (* m (- 1.0 m)) v)
447.0ms	(/ (* (- 1.0 m) (- (/ (* m (- 1.0 m)) v) 1.0)) (- (sqrt 1.0) (sqrt m)))
74.0ms	(* (/ (* (- 1.0 m) (- (/ (* m (- 1.0 m)) v) 1.0)) (- (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
42.0ms	(* (- 1.0 m) (- (/ (* m (- 1.0 m)) v) 1.0))

simplify621.0ms

Counts: 161 → 161

prune582.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes85.0ms

Accuracy

12.7% (0.0b remaining)

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

bsearch0.0ms

simplify594.0ms

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.3s	13690×	body	80	valid
412.0ms	13690×	pre	80	true