Details

sample245.0ms

Algorithm

intervals

Results

79.0ms	480×	pre	80	true
58.0ms	480×	body	80	valid

simplify360.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

329.0ms

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

prune27.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize101.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (- (/ (* m (- 1 m)) v) 1) m)
0.1b	(/ (* m (- 1 m)) v)
0.0b	(* m (- 1 m))

rewrite191.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
12×	`add-cbrt-cube` `add-exp-log`
10×	`associate-l`
9×	`associate-r` `add-cube-cbrt`
7×	`pow1`
4×	`associate-*r/` `difference-of-squares`
3×	`associate-/r*` `times-frac` `flip3--` `prod-exp` `cbrt-unprod` `insert-posit16` `flip--` `add-log-exp`
2×	`distribute-rgt-in` `cbrt-undiv` `sub-neg` `distribute-lft-in` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `distribute-lft-out--` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `difference-of-sqr-1` `div-inv` `associate-/l*`

Counts

3 → 77

Calls

3 calls:

Slowest

114.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)
49.0ms	(/ (* m (- 1 m)) v)
25.0ms	(* m (- 1 m))

series192.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

70.0ms	(* m (- 1 m))
66.0ms	(/ (* m (- 1 m)) v)
56.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)

simplify4.4s

Counts

56 → 86

Calls

56 calls:

Slowest

481.0ms	(* (- (pow (/ (* m (- 1 m)) v) 3) (pow 1 3)) m)
318.0ms	(* (* (* (- (/ (* m (- 1 m)) v) 1) (- (/ (* m (- 1 m)) v) 1)) (- (/ (* m (- 1 m)) v) 1)) (* (* m m) m))
255.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)
244.0ms	(/ (* (* (* m m) m) (* (* (- 1 m) (- 1 m)) (- 1 m))) (* (* v v) v))
233.0ms	(- (/ (pow m 2) v) (+ m (/ (pow m 3) v)))

prune558.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (- (/ m (/ v (- 1 m))) 1) m)
0.0b	(/ m (/ v (- 1 m)))
0.0b	(/ v (- 1 m))

rewrite207.0ms

Algorithm

rewrite-expression-head

Rules

171×	`times-frac`
152×	`add-sqr-sqrt`
134×	`*-un-lft-identity`
81×	`add-cube-cbrt`
38×	`difference-of-squares`
30×	`associate-/r*`
17×	`distribute-lft-out--`
13×	`associate-l`
12×	`add-cbrt-cube` `add-exp-log`
11×	`associate-/r/`
6×	`flip3--` `div-inv` `flip--` `associate-/l*`
5×	`pow1`
4×	`cbrt-undiv` `div-exp`
3×	`difference-of-sqr-1` `associate-r` `insert-posit16` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-*l/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 188

Calls

3 calls:

Slowest

170.0ms	(* (- (/ m (/ v (- 1 m))) 1) m)
16.0ms	(/ m (/ v (- 1 m)))
15.0ms	(/ v (- 1 m))

series125.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

57.0ms	(/ m (/ v (- 1 m)))
39.0ms	(/ v (- 1 m))
29.0ms	(* (- (/ m (/ v (- 1 m))) 1) m)

simplify20.6s

Counts

252 → 197

Calls

252 calls:

Slowest

1.0s	(/ (* (cbrt m) (cbrt m)) (/ (* (cbrt v) (cbrt v)) (* (cbrt (- 1 m)) (cbrt (- 1 m)))))
498.0ms	(/ (* (* m m) m) (* (* (/ v (- 1 m)) (/ v (- 1 m))) (/ v (- 1 m))))
490.0ms	(* (* (* (- (/ m (/ v (- 1 m))) 1) (- (/ m (/ v (- 1 m))) 1)) (- (/ m (/ v (- 1 m))) 1)) (* (* m m) m))
489.0ms	(* (- (pow (/ m (/ v (- 1 m))) 3) (pow 1 3)) m)
470.0ms	(/ (sqrt m) (/ v (- (pow 1 3) (pow m 3))))

prune1.7s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1 (/ (/ v (- 1 m)) m))
0.2b	(* (- (/ 1 (/ (/ v (- 1 m)) m)) 1) m)
0.1b	(/ (/ v (- 1 m)) m)
0.0b	(/ v (- 1 m))

rewrite303.0ms

Algorithm

rewrite-expression-head

Rules

930×	`times-frac`
592×	`add-sqr-sqrt`
554×	`*-un-lft-identity`
379×	`add-cube-cbrt`
118×	`difference-of-squares`
85×	`associate-/r*`
54×	`distribute-lft-out--`
35×	`associate-/r/`
34×	`add-exp-log`
30×	`associate-/l*`
26×	`associate-l`
24×	`div-inv`
22×	`add-cbrt-cube`
19×	`div-exp`
18×	`flip3--` `flip--`
10×	`cbrt-undiv`
7×	`pow1` `difference-of-sqr-1`
4×	`insert-posit16` `add-log-exp`
3×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `associate-r`
2×	`associate-*l/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `pow-flip` `inv-pow` `unswap-sqr` `associate-/l/`

Counts

4 → 534

Calls

4 calls:

Slowest

220.0ms	(* (- (/ 1 (/ (/ v (- 1 m)) m)) 1) m)
27.0ms	(/ (/ v (- 1 m)) m)
15.0ms	(/ v (- 1 m))
13.0ms	(/ 1 (/ (/ v (- 1 m)) m))

series213.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

84.0ms	(/ 1 (/ (/ v (- 1 m)) m))
54.0ms	(/ (/ v (- 1 m)) m)
41.0ms	(* (- (/ 1 (/ (/ v (- 1 m)) m)) 1) m)
33.0ms	(/ v (- 1 m))

simplify1.6m

Counts

808 → 546

Calls

808 calls:

Slowest

689.0ms	(/ (cbrt 1) (/ (/ v (- 1 m)) (sqrt m)))
622.0ms	(/ (* (* 1 1) 1) (* (* (/ (/ v (- 1 m)) m) (/ (/ v (- 1 m)) m)) (/ (/ v (- 1 m)) m)))
617.0ms	(/ 1 (/ (/ (sqrt v) (- 1 m)) (sqrt m)))
588.0ms	(/ (* (cbrt 1) (cbrt 1)) (/ (/ (* (cbrt v) (cbrt v)) (+ 1 (sqrt m))) (sqrt m)))
571.0ms	(/ (* (cbrt 1) (cbrt 1)) (/ (/ 1 (* (cbrt (- 1 m)) (cbrt (- 1 m)))) (* (cbrt m) (cbrt m))))

prune4.7s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

122×	`times-frac`
83×	`add-sqr-sqrt`
77×	`*-un-lft-identity`
59×	`add-cube-cbrt`
18×	`difference-of-squares`
16×	`distribute-rgt-out--`
13×	`associate-/r*`
8×	`add-cbrt-cube` `add-exp-log`
7×	`div-inv` `add-log-exp`
5×	`associate-/l*`
3×	`pow1` `cbrt-undiv` `flip3--` `div-exp` `insert-posit16` `flip--`
2×	`sub-neg` `diff-log` `div-sub` `associate-/r/` `associate-/l/`
1×	`associate--l-` `clear-num` `frac-2neg` `distribute-lft-out--`

Counts

3 → 136

Calls

3 calls:

Slowest

55.0ms	(- (/ (- m (* m m)) (/ v m)) m)
12.0ms	(/ (- m (* m m)) (/ v m))
8.0ms	(- m (* m m))

series193.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

89.0ms	(/ (- m (* m m)) (/ v m))
75.0ms	(- m (* m m))
28.0ms	(- (/ (- m (* m m)) (/ v m)) m)

simplify13.5s

Counts

176 → 145

Calls

176 calls:

Slowest

566.0ms	(/ (- m (* m m)) (/ v (sqrt m)))
560.0ms	(/ (* (* (- m (* m m)) (- m (* m m))) (- m (* m m))) (* (* (/ v m) (/ v m)) (/ v m)))
398.0ms	(- (* m m) (* (* m m) (* m m)))
376.0ms	(/ (exp (/ (- m (* m m)) (/ v m))) (exp m))
343.0ms	(/ (* (cbrt (- m (* m m))) (cbrt (- m (* m m)))) (/ (* (cbrt v) (cbrt v)) (* (cbrt m) (cbrt m))))

prune1.4s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes110.0ms

Accuracy

0% (0.2b remaining)

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

bsearch3.0ms

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.3s	13873×	body	80	valid
539.0ms	13873×	pre	80	true