Details

sample137.0ms

Algorithm

intervals

Results

26.0ms	429×	body	80	valid
14.0ms	429×	pre	80	true

simplify199.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

198.0ms

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

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite195.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
21×	`add-cube-cbrt`
18×	`prod-diff`
12×	`add-cbrt-cube` `add-exp-log`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`associate-l`
9×	`associate-r`
7×	`pow1`
4×	`associate-*r/` `difference-of-squares`
3×	`expm1-log1p-u` `associate-/r*` `times-frac` `flip3--` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp`
2×	`cbrt-undiv` `sub-neg` `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 → 101

Calls

3 calls:

Slowest

69.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)
62.0ms	(/ (* m (- 1 m)) v)
58.0ms	(* m (- 1 m))

series220.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

92.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)
81.0ms	(* m (- 1 m))
47.0ms	(/ (* m (- 1 m)) v)

simplify5.9s

Counts

74 → 110

Calls

74 calls:

Slowest

504.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)
495.0ms	(* (- (pow (/ (* m (- 1 m)) v) 3) (pow 1 3)) m)
321.0ms	(* (* (* (- (/ (* m (- 1 m)) v) 1) (- (/ (* m (- 1 m)) v) 1)) (- (/ (* m (- 1 m)) v) 1)) (* (* m m) m))
306.0ms	(* (* (* m m) m) (* (* (- 1 m) (- 1 m)) (- 1 m)))
231.0ms	(- (/ (pow m 2) v) (+ m (/ (pow m 3) v)))

prune993.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.5b	(* m (/ (- 1 m) v))
0.2b	(* (- (* m (/ (- 1 m) v)) 1) m)
0.0b	(/ (- 1 m) v)

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

55×	`add-sqr-sqrt`
48×	`*-un-lft-identity`
37×	`times-frac`
27×	`add-cube-cbrt`
25×	`associate-r`
14×	`difference-of-squares`
12×	`add-cbrt-cube` `add-exp-log`
7×	`pow1` `distribute-lft-out--`
6×	`associate-l` `associate-/l*`
3×	`expm1-log1p-u` `associate-/r*` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `flip3--` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv` `flip--` `associate-/l/`
1×	`clear-num` `frac-2neg` `div-sub` `associate-*r/`

Counts

3 → 112

Calls

3 calls:

Slowest

73.0ms	(* (- (* m (/ (- 1 m) v)) 1) m)
36.0ms	(* m (/ (- 1 m) v))
25.0ms	(/ (- 1 m) v)

series129.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

47.0ms	(* (- (* m (/ (- 1 m) v)) 1) m)
43.0ms	(* m (/ (- 1 m) v))
39.0ms	(/ (- 1 m) v)

simplify6.1s

Counts

100 → 121

Calls

100 calls:

Slowest

888.0ms	(* (* (* m m) m) (* (* (/ (- 1 m) v) (/ (- 1 m) v)) (/ (- 1 m) v)))
748.0ms	(* (- (pow (* m (/ (- 1 m) v)) 3) (pow 1 3)) m)
276.0ms	(* (- (* (* m (/ (- 1 m) v)) (* m (/ (- 1 m) v))) (* 1 1)) m)
247.0ms	(- (/ (pow m 2) v) (+ m (/ (pow m 3) v)))
234.0ms	(- (/ (pow m 2) v) (+ m (/ (pow m 3) v)))

prune934.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* (- (/ (* m (- 1 m)) v) 1) (sqrt m)) (sqrt m))
0.2b	(* (- (/ (* m (- 1 m)) v) 1) (sqrt m))
0.0b	(/ (* m (- 1 m)) v)
0.0b	(* m (- 1 m))

rewrite251.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
31×	`*-un-lft-identity`
25×	`add-cube-cbrt`
18×	`add-cbrt-cube` `associate-r` `prod-diff` `add-exp-log`
13×	`pow1`
11×	`distribute-rgt-in` `distribute-lft-in` `associate-l`
7×	`sqrt-prod`
6×	`associate-*l/` `prod-exp` `cbrt-unprod`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `flip3--` `associate-*r/` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp` `difference-of-squares`
3×	`associate-/r` `times-frac` `-commutative` `unswap-sqr`
2×	`cbrt-undiv` `sub-neg` `div-exp` `distribute-lft-out--` `associate-/l/`
1×	`clear-num` `frac-2neg` `difference-of-sqr-1` `div-inv` `associate-/l*`

Counts

4 → 131

Calls

4 calls:

Slowest

120.0ms	(* (* (- (/ (* m (- 1 m)) v) 1) (sqrt m)) (sqrt m))
73.0ms	(* (- (/ (* m (- 1 m)) v) 1) (sqrt m))
30.0ms	(/ (* m (- 1 m)) v)
26.0ms	(* m (- 1 m))

series247.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

87.0ms	(* (- (/ (* m (- 1 m)) v) 1) (sqrt m))
72.0ms	(* m (- 1 m))
49.0ms	(* (* (- (/ (* m (- 1 m)) v) 1) (sqrt m)) (sqrt m))
38.0ms	(/ (* m (- 1 m)) v)

simplify8.7s

Counts

98 → 143

Calls

98 calls:

Slowest

528.0ms	(* (- (pow (/ (* m (- 1 m)) v) 3) (pow 1 3)) (sqrt m))
492.0ms	(* (* (- (pow (/ (* m (- 1 m)) v) 3) (pow 1 3)) (sqrt m)) (sqrt m))
457.0ms	(* (* (- (/ (* m (- 1 m)) v) 1) (sqrt m)) (sqrt m))
447.0ms	(* (- (/ (* m (- 1 m)) v) 1) (sqrt m))
388.0ms	(* (* (* (- (/ (* m (- 1 m)) v) 1) (- (/ (* m (- 1 m)) v) 1)) (- (/ (* m (- 1 m)) v) 1)) (* (* (sqrt m) (sqrt m)) (sqrt m)))

prune1.4s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

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

rewrite577.0ms

Algorithm

rewrite-expression-head

Rules

32×	`sqrt-prod`
25×	`add-sqr-sqrt`
24×	`associate-r`
22×	`pow1`
20×	`add-cbrt-cube` `add-exp-log`
18×	`*-un-lft-identity`
15×	`add-cube-cbrt`
12×	`associate-*l/`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`associate-l`
4×	`expm1-log1p-u` `sqrt-pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `*-commutative` `flip--`
2×	`rem-sqrt-square` `pow1/2` `difference-of-squares` `unswap-sqr`
1×	`difference-of-sqr-1` `distribute-lft-out--`

Counts

4 → 114

Calls

4 calls:

Slowest

389.0ms	(* (* (* (- (/ (* m (- 1 m)) v) 1) (sqrt m)) (sqrt (sqrt m))) (sqrt (sqrt m)))
103.0ms	(* (* (- (/ (* m (- 1 m)) v) 1) (sqrt m)) (sqrt (sqrt m)))
79.0ms	(* (- (/ (* m (- 1 m)) v) 1) (sqrt m))
3.0ms	(sqrt (sqrt m))

series529.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

207.0ms	(sqrt (sqrt m))
142.0ms	(* (* (- (/ (* m (- 1 m)) v) 1) (sqrt m)) (sqrt (sqrt m)))
108.0ms	(* (- (/ (* m (- 1 m)) v) 1) (sqrt m))
71.0ms	(* (* (* (- (/ (* m (- 1 m)) v) 1) (sqrt m)) (sqrt (sqrt m))) (sqrt (sqrt m)))

simplify11.7s

Counts

80 → 126

Calls

80 calls:

Slowest

644.0ms	(* (* (- (pow (/ (* m (- 1 m)) v) 3) (pow 1 3)) (sqrt m)) (sqrt (sqrt m)))
634.0ms	(* (* (* (- (pow (/ (* m (- 1 m)) v) 3) (pow 1 3)) (sqrt m)) (sqrt (sqrt m))) (sqrt (sqrt m)))
571.0ms	(* (* (* (- (/ (* m (- 1 m)) v) 1) (sqrt m)) (sqrt (sqrt m))) (sqrt (sqrt m)))
531.0ms	(* (- (pow (/ (* m (- 1 m)) v) 3) (pow 1 3)) (sqrt m))
466.0ms	(+ (+ (log (* (- (/ (* m (- 1 m)) v) 1) (sqrt m))) (log (sqrt (sqrt m)))) (log (sqrt (sqrt m))))

prune1.3s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes219.0ms

Accuracy

0% (0.2b remaining)

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

bsearch2.0ms

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.3s	13767×	body	80	valid
634.0ms	13767×	pre	80	true