Details

sample118.0ms

Algorithm

intervals

Results

16.0ms	460×	body	80	valid
8.0ms	460×	pre	80	true

simplify92.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize70.0ms

Local error

Found 3 expressions with local error:

0.0b	(* m (- 1.0 m))
0.1b	(/ (* m (- 1.0 m)) v)
0.2b	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

rewrite186.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 71

Calls

3 calls:

40.0ms	(* m (- 1.0 m))
31.0ms	(/ (* m (- 1.0 m)) v)
109.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series248.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(* m (- 1.0 m))
72.0ms	(/ (* m (- 1.0 m)) v)
87.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify29.0ms

Counts: 80 → 80

prune222.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ v (- 1.0 m))
0.1b	(/ m (/ v (- 1.0 m)))
0.2b	(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

rewrite583.0ms

Algorithm

rewrite-expression-head

Rules

141×	`times-frac`
116×	`add-sqr-sqrt`
107×	`*-un-lft-identity`
73×	`add-cube-cbrt`
26×	`associate-/r*`
19×	`difference-of-squares`
17×	`distribute-lft-out--`
12×	`add-exp-log` `add-cbrt-cube`
11×	`associate-/r/`
7×	`associate-l`
6×	`flip3--` `flip--` `div-inv` `associate-/l*`
5×	`pow1`
4×	`cbrt-undiv` `div-exp`
3×	`associate-r` `add-log-exp`
2×	`frac-2neg` `associate-*l/` `clear-num`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 163

Calls

3 calls:

16.0ms	(/ v (- 1.0 m))
36.0ms	(/ m (/ v (- 1.0 m)))
523.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

series197.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(/ v (- 1.0 m))
75.0ms	(/ m (/ v (- 1.0 m)))
56.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

simplify74.0ms

Counts: 172 → 172

prune584.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ v (- 1.0 m))
0.2b	(* (- (/ (sqrt m) (/ (/ v (- 1.0 m)) (sqrt m))) 1.0) m)
0.3b	(/ (/ v (- 1.0 m)) (sqrt m))
0.3b	(/ (sqrt m) (/ (/ v (- 1.0 m)) (sqrt m)))

rewrite2.7s

Algorithm

rewrite-expression-head

Rules

2560×	`times-frac`
1412×	`add-sqr-sqrt`
1368×	`*-un-lft-identity`
1064×	`add-cube-cbrt`
909×	`sqrt-prod`
162×	`difference-of-squares`
152×	`distribute-lft-out--`
141×	`associate-/r*`
101×	`associate-/r/`
59×	`div-inv`
51×	`flip3--` `flip--`
30×	`associate-/l*`
22×	`add-exp-log` `add-cbrt-cube`
15×	`associate-l`
10×	`cbrt-undiv` `div-exp`
6×	`pow1`
4×	`add-log-exp`
3×	`frac-2neg` `associate-r` `clear-num`
2×	`associate-*l/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `associate-/l/` `unswap-sqr`

Counts

4 → 1170

Calls

4 calls:

25.0ms	(/ v (- 1.0 m))
2.4s	(* (- (/ (sqrt m) (/ (/ v (- 1.0 m)) (sqrt m))) 1.0) m)
34.0ms	(/ (/ v (- 1.0 m)) (sqrt m))
73.0ms	(/ (sqrt m) (/ (/ v (- 1.0 m)) (sqrt m)))

series399.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(/ v (- 1.0 m))
81.0ms	(* (- (/ (sqrt m) (/ (/ v (- 1.0 m)) (sqrt m))) 1.0) m)
167.0ms	(/ (/ v (- 1.0 m)) (sqrt m))
89.0ms	(/ (sqrt m) (/ (/ v (- 1.0 m)) (sqrt m)))

simplify242.0ms

Counts: 1182 → 1182

prune4.0s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1.0 m) (/ (pow m 3) v))
0.0b	(- (* 1.0 (/ (pow m 2) v)) (+ (* 1.0 m) (/ (pow m 3) v)))
9.4b	(/ (pow m 3) v)
11.6b	(/ (pow m 2) v)

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

60×	`times-frac`
46×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
24×	`unpow-prod-down`
20×	`associate-/l*`
14×	`add-exp-log`
12×	`cube-prod`
11×	`add-log-exp`
8×	`add-cbrt-cube` `sqr-pow`
6×	`div-exp` `associate-/r*`
4×	`pow1` `cube-mult` `unpow3` `unpow2`
2×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `flip3-+` `diff-log` `associate-*r/` `pow-exp` `clear-num` `sum-log` `frac-sub` `flip-+` `div-inv`
1×	`+-commutative` `sub-neg` `flip3--` `flip--` `associate--r+`

Counts

4 → 141

Calls

4 calls:

21.0ms	(+ (* 1.0 m) (/ (pow m 3) v))
94.0ms	(- (* 1.0 (/ (pow m 2) v)) (+ (* 1.0 m) (/ (pow m 3) v)))
9.0ms	(/ (pow m 3) v)
13.0ms	(/ (pow m 2) v)

series179.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(+ (* 1.0 m) (/ (pow m 3) v))
52.0ms	(- (* 1.0 (/ (pow m 2) v)) (+ (* 1.0 m) (/ (pow m 3) v)))
45.0ms	(/ (pow m 3) v)
33.0ms	(/ (pow m 2) v)

simplify83.0ms

Counts: 153 → 153

prune445.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes49.0ms

Accuracy

-6.4% (0.1b remaining)

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

bsearch0.0ms

simplify121.0ms

end0.0ms

sample2.3s

Algorithm

intervals

Results

868.0ms	13779×	pre	80	true
850.0ms	13779×	body	80	valid