Details

sample139.0ms

Algorithm

intervals

Results

29.0ms	449×	body	80	valid
15.0ms	449×	pre	80	true

simplify277.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

276.0ms

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

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite157.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-sqr-sqrt`
46×	`*-un-lft-identity`
39×	`prod-diff`
37×	`add-cube-cbrt`
19×	`add-exp-log`
15×	`times-frac`
13×	`add-cbrt-cube`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`associate-l`
9×	`associate-r`
8×	`pow1`
7×	`fma-neg`
6×	`add-log-exp` `difference-of-squares`
5×	`div-inv`
4×	`expm1-log1p-u` `flip3--` `div-exp` `prod-exp` `associate-*r/` `insert-posit16` `log1p-expm1-u` `flip--`
3×	`expm1-def` `associate-/r*` `sub-neg` `cbrt-unprod` `distribute-lft-out--`
2×	`cbrt-undiv` `difference-of-sqr-1` `pow-prod-down` `associate-l/` `-commutative` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `diff-log` `associate-/l*`

Counts

4 → 151

Calls

4 calls:

Slowest

105.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)
17.0ms	(- (/ (* m (- 1 m)) v) 1)
17.0ms	(* m (- 1 m))
14.0ms	(/ (* m (- 1 m)) v)

series184.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

59.0ms	(/ (* m (- 1 m)) v)
52.0ms	(* m (- 1 m))
36.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)
36.0ms	(- (/ (* m (- 1 m)) v) 1)

simplify12.8s

Counts

135 → 163

Calls

135 calls:

Slowest

571.0ms	(/ (exp (/ (* m (- 1 m)) v)) (exp 1))
474.0ms	(fma (/ m (* (cbrt v) (cbrt v))) (/ (- 1 m) (cbrt v)) (- (* (sqrt 1) (sqrt 1))))
442.0ms	(fma (/ m (* (cbrt v) (cbrt v))) (/ (- 1 m) (cbrt v)) (- (* 1 1)))
424.0ms	(* (* (* (- (/ (* m (- 1 m)) v) 1) (- (/ (* m (- 1 m)) v) 1)) (- (/ (* m (- 1 m)) v) 1)) (* (* m m) m))
397.0ms	(* (- (pow (/ (* m (- 1 m)) v) 3) (pow 1 3)) m)

prune1.3s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 3 expressions with local error:

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

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
18×	`*-un-lft-identity`
12×	`add-cube-cbrt`
9×	`prod-diff`
7×	`associate-l`
6×	`add-exp-log`
5×	`pow1` `add-cbrt-cube` `add-log-exp`
4×	`difference-of-squares`
3×	`expm1-log1p-u` `fma-neg` `associate-r` `insert-posit16` `log1p-expm1-u`
2×	`flip3--` `difference-of-sqr-1` `associate-*l/` `fma-udef` `flip--` `distribute-lft-out--`
1×	`expm1-def` `sub-neg` `diff-log` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 71

Calls

3 calls:

Slowest

32.0ms	(* (- (fma (/ m v) (- m) (/ m v)) 1) m)
10.0ms	(- (fma (/ m v) (- m) (/ m v)) 1)
0.0ms	(fma (/ m v) (- m) (/ m v))

series136.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

57.0ms	(* (- (fma (/ m v) (- m) (/ m v)) 1) m)
43.0ms	(fma (/ m v) (- m) (/ m v))
35.0ms	(- (fma (/ m v) (- m) (/ m v)) 1)

simplify5.6s

Counts

52 → 80

Calls

52 calls:

Slowest

650.0ms	(* (* (* (- (fma (/ m v) (- m) (/ m v)) 1) (- (fma (/ m v) (- m) (/ m v)) 1)) (- (fma (/ m v) (- m) (/ m v)) 1)) (* (* m m) m))
284.0ms	(* (- (pow (fma (/ m v) (- m) (/ m v)) 3) (pow 1 3)) m)
280.0ms	(* (- (fma (/ m v) (- m) (/ m v)) 1) m)
264.0ms	(/ (exp (fma (/ m v) (- m) (/ m v))) (exp 1))
251.0ms	(- (/ (pow m 2) v) (+ m (/ (pow m 3) v)))

prune687.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite242.0ms

Algorithm

rewrite-expression-head

Rules

62×	`add-sqr-sqrt`
52×	`*-un-lft-identity`
48×	`times-frac`
40×	`add-cube-cbrt`
34×	`add-exp-log`
22×	`add-cbrt-cube`
18×	`prod-diff`
17×	`associate-l`
14×	`div-exp`
12×	`associate-*r/`
11×	`distribute-rgt-in` `distribute-lft-in` `associate-/r/`
10×	`associate-/r*`
9×	`pow1` `associate-r`
8×	`difference-of-squares`
7×	`cbrt-undiv` `flip3--` `div-inv` `flip--`
6×	`prod-exp` `associate-/l*`
4×	`expm1-log1p-u` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `1-exp` `difference-of-sqr-1` `distribute-lft-out--`
2×	`clear-num` `sub-neg` `frac-2neg` `pow-prod-down` `associate-l/` `-commutative` `unswap-sqr`
1×	`pow-flip` `inv-pow`

Counts

4 → 175

Calls

4 calls:

Slowest

173.0ms	(* (- (/ 1 (/ v (* m (- 1 m)))) 1) m)
31.0ms	(* m (- 1 m))
16.0ms	(/ v (* m (- 1 m)))
16.0ms	(/ 1 (/ v (* m (- 1 m))))

series249.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

77.0ms	(* m (- 1 m))
59.0ms	(/ v (* m (- 1 m)))
59.0ms	(/ 1 (/ v (* m (- 1 m))))
53.0ms	(* (- (/ 1 (/ v (* m (- 1 m)))) 1) m)

simplify14.4s

Counts

160 → 187

Calls

160 calls:

Slowest

601.0ms	(* (- (pow (/ 1 (/ v (* m (- 1 m)))) 3) (pow 1 3)) m)
407.0ms	(/ (sqrt 1) (/ v (* m (- (* 1 1) (* m m)))))
339.0ms	(- (+ (/ v (pow m 4)) (+ (/ v (pow m 3)) (/ v (pow m 2)))))
339.0ms	(- (+ (/ v (pow m 4)) (+ (/ v (pow m 3)) (/ v (pow m 2)))))
331.0ms	(/ 1 (/ v (* m (- (* 1 1) (* m m)))))

prune1.6s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* (- (fma (/ m v) (- m) (/ m v)) 1) (sqrt m)) (sqrt m))
0.2b	(* (- (fma (/ m v) (- m) (/ m v)) 1) (sqrt m))
0.1b	(fma (/ m v) (- m) (/ m v))
0.0b	(- (fma (/ m v) (- m) (/ m v)) 1)

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
16×	`add-cube-cbrt`
12×	`associate-r` `add-exp-log`
11×	`pow1` `add-cbrt-cube`
9×	`prod-diff`
8×	`associate-l`
7×	`sqrt-prod`
6×	`associate-*l/` `add-log-exp`
4×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `difference-of-squares`
3×	`flip3--` `fma-neg` `flip--`
2×	`difference-of-sqr-1` `*-commutative` `fma-udef` `distribute-lft-out--` `unswap-sqr`
1×	`expm1-def` `sub-neg` `diff-log` `associate--l+`

Counts

4 → 101

Calls

4 calls:

Slowest

39.0ms	(* (* (- (fma (/ m v) (- m) (/ m v)) 1) (sqrt m)) (sqrt m))
17.0ms	(* (- (fma (/ m v) (- m) (/ m v)) 1) (sqrt m))
5.0ms	(- (fma (/ m v) (- m) (/ m v)) 1)
0.0ms	(fma (/ m v) (- m) (/ m v))

series293.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

137.0ms	(* (- (fma (/ m v) (- m) (/ m v)) 1) (sqrt m))
81.0ms	(* (* (- (fma (/ m v) (- m) (/ m v)) 1) (sqrt m)) (sqrt m))
38.0ms	(fma (/ m v) (- m) (/ m v))
37.0ms	(- (fma (/ m v) (- m) (/ m v)) 1)

simplify7.7s

Counts

76 → 113

Calls

76 calls:

Slowest

653.0ms	(* (* (* (- (fma (/ m v) (- m) (/ m v)) 1) (- (fma (/ m v) (- m) (/ m v)) 1)) (- (fma (/ m v) (- m) (/ m v)) 1)) (* (* (sqrt m) (sqrt m)) (sqrt m)))
362.0ms	(* (* (- (pow (fma (/ m v) (- m) (/ m v)) 3) (pow 1 3)) (sqrt m)) (sqrt m))
318.0ms	(* (- (pow (fma (/ m v) (- m) (/ m v)) 3) (pow 1 3)) (sqrt m))
302.0ms	(+ (log (* (- (fma (/ m v) (- m) (/ m v)) 1) (sqrt m))) (log (sqrt m)))
289.0ms	(/ (exp (fma (/ m v) (- m) (/ m v))) (exp 1))

prune947.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes95.0ms

Accuracy

0% (0.2b remaining)

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

bsearch3.0ms

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.9s	13796×	body	80	valid
633.0ms	13796×	pre	80	true