Details

sample165.0ms

Algorithm

intervals

Results

84.0ms	428×	body	80	valid
19.0ms	428×	pre	80	true

simplify268.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

267.0ms

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

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

126×	`add-sqr-sqrt`
118×	`*-un-lft-identity`
117×	`prod-diff`
114×	`add-cube-cbrt`
92×	`times-frac`
41×	`distribute-rgt-in` `distribute-lft-in`
13×	`fma-neg`
10×	`div-inv`
6×	`associate-r`
5×	`pow1` `add-cbrt-cube` `add-exp-log` `add-log-exp`
4×	`difference-of-squares`
3×	`expm1-log1p-u` `sub-neg` `associate-l` `insert-posit16` `log1p-expm1-u`
2×	`flip3--` `associate-*r/` `fma-udef` `flip--` `distribute-lft-out--`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `associate--r+` `unswap-sqr`

Counts

3 → 190

Calls

3 calls:

Slowest

63.0ms	(* m (- (/ m v) (fma m (/ m v) 1)))
23.0ms	(- (/ m v) (fma m (/ m v) 1))
1.0ms	(fma m (/ m v) 1)

series115.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

51.0ms	(* m (- (/ m v) (fma m (/ m v) 1)))
35.0ms	(fma m (/ m v) 1)
29.0ms	(- (/ m v) (fma m (/ m v) 1))

simplify52.3s

Counts

201 → 199

Calls

201 calls:

Slowest

767.0ms	(* (* (* m m) m) (* (* (- (/ m v) (fma m (/ m v) 1)) (- (/ m v) (fma m (/ m v) 1))) (- (/ m v) (fma m (/ m v) 1))))
757.0ms	(fma (- (fma m (/ m v) 1)) 1 (* (fma m (/ m v) 1) 1))
705.0ms	(* (fma (- (fma m (/ m v) 1)) 1 (* (fma m (/ m v) 1) 1)) m)
667.0ms	(+ (* (/ m v) (/ m v)) (+ (* (fma m (/ m v) 1) (fma m (/ m v) 1)) (* (/ m v) (fma m (/ m v) 1))))
643.0ms	(* (fma (- (fma m (/ m v) 1)) 1 (* (fma m (/ m v) 1) 1)) m)

prune2.1s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
29×	`associate-r`
22×	`*-un-lft-identity` `add-cube-cbrt`
20×	`times-frac`
16×	`add-cbrt-cube` `add-exp-log`
10×	`pow1`
9×	`associate-l`
6×	`add-log-exp`
5×	`prod-exp` `cbrt-unprod` `unswap-sqr`
4×	`expm1-log1p-u` `associate-l/` `associate-r/` `insert-posit16` `log1p-expm1-u`
3×	`pow-prod-down` `*-commutative`
2×	`cbrt-undiv` `flip3--` `div-exp` `frac-add` `div-inv` `flip--`
1×	`+-commutative` `sum-log` `fma-def` `flip3-+` `flip-+`

Counts

4 → 110

Calls

4 calls:

Slowest

25.0ms	(* (- -1 (* m (/ m v))) m)
25.0ms	(+ (* m (/ m v)) (* (- -1 (* m (/ m v))) m))
10.0ms	(* m (/ m v))
9.0ms	(* m (/ m v))

series152.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

70.0ms	(* (- -1 (* m (/ m v))) m)
34.0ms	(+ (* m (/ m v)) (* (- -1 (* m (/ m v))) m))
27.0ms	(* m (/ m v))
20.0ms	(* m (/ m v))

simplify6.7s

Counts

76 → 122

Calls

76 calls:

Slowest

502.0ms	(- (+ m (/ (pow m 3) v)))
493.0ms	(* (* (* (- -1 (* m (/ m v))) (- -1 (* m (/ m v)))) (- -1 (* m (/ m v)))) (* (* m m) m))
477.0ms	(* (* (* m m) m) (/ (* (* m m) m) (* (* v v) v)))
467.0ms	(- (+ m (/ (pow m 3) v)))
466.0ms	(- (+ m (/ (pow m 3) v)))

prune1.1s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0b

localize34.0ms

Local error

Found 3 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
13×	`associate-r`
11×	`*-un-lft-identity` `add-cube-cbrt`
10×	`times-frac`
8×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `add-log-exp`
3×	`expm1-log1p-u` `associate-l` `insert-posit16` `log1p-expm1-u`
2×	`prod-exp` `cbrt-unprod` `fma-udef` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `associate-+r+` `sum-log` `fma-def` `flip3-+` `div-exp` `pow-prod-down` `associate-r/` `-commutative` `flip-+` `div-inv`

Counts

3 → 62

Calls

3 calls:

Slowest

18.0ms	(* m (/ m v))
17.0ms	(+ (* m (/ m v)) (fma (* m (- m)) (/ m v) (- m)))
0.0ms	(fma (* m (- m)) (/ m v) (- m))

series136.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

52.0ms	(+ (* m (/ m v)) (fma (* m (- m)) (/ m v) (- m)))
48.0ms	(fma (* m (- m)) (/ m v) (- m))
35.0ms	(* m (/ m v))

simplify3.2s

Counts

35 → 71

Calls

35 calls:

Slowest

481.0ms	(- (+ m (/ (pow m 3) v)))
441.0ms	(* (* (* m m) m) (/ (* (* m m) m) (* (* v v) v)))
440.0ms	(- (+ m (/ (pow m 3) v)))
429.0ms	(- (+ m (/ (pow m 3) v)))
313.0ms	(* (exp (* m (/ m v))) (exp (fma (* m (- m)) (/ m v) (- m))))

prune640.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

13.5b	(* (* m m) (/ 1 v))
0.2b	(* m (/ m v))
0.1b	(* (- -1 (* (* m m) (/ 1 v))) m)
0.0b	(+ (* m (/ m v)) (* (- -1 (* (* m m) (/ 1 v))) m))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-exp-log`
32×	`add-sqr-sqrt`
29×	`associate-r`
23×	`add-cbrt-cube`
22×	`*-un-lft-identity`
21×	`times-frac` `add-cube-cbrt`
15×	`prod-exp`
13×	`pow1`
9×	`cbrt-unprod`
7×	`associate-l`
6×	`add-log-exp` `unswap-sqr`
5×	`div-exp` `pow-prod-down`
4×	`expm1-log1p-u` `associate-l/` `associate-r/` `insert-posit16` `log1p-expm1-u`
3×	`cbrt-undiv` `*-commutative`
2×	`rec-exp` `flip3--` `1-exp` `frac-add` `div-inv` `flip--`
1×	`+-commutative` `sum-log` `fma-def` `flip3-+` `un-div-inv` `flip-+`

Counts

4 → 119

Calls

4 calls:

Slowest

30.0ms	(* (* m m) (/ 1 v))
14.0ms	(* (- -1 (* (* m m) (/ 1 v))) m)
12.0ms	(+ (* m (/ m v)) (* (- -1 (* (* m m) (/ 1 v))) m))
9.0ms	(* m (/ m v))

series161.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

60.0ms	(* (- -1 (* (* m m) (/ 1 v))) m)
45.0ms	(+ (* m (/ m v)) (* (- -1 (* (* m m) (/ 1 v))) m))
28.0ms	(* m (/ m v))
28.0ms	(* (* m m) (/ 1 v))

simplify10.7s

Counts

85 → 131

Calls

85 calls:

Slowest

1.1s	(* (* (* (* m m) (* m m)) (* m m)) (/ (* (* 1 1) 1) (* (* v v) v)))
795.0ms	(* (* (* (* m m) m) (* (* m m) m)) (/ (* (* 1 1) 1) (* (* v v) v)))
771.0ms	(* v (+ -1 (* (* m m) (/ 1 v))))
671.0ms	(* (* (* (- -1 (* (* m m) (/ 1 v))) (- -1 (* (* m m) (/ 1 v)))) (- -1 (* (* m m) (/ 1 v)))) (* (* m m) m))
559.0ms	(- (+ m (/ (pow m 3) v)))

prune1.0s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

regimes123.0ms

Accuracy

0% (0.2b remaining)

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

bsearch5.0ms

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.2s	13624×	body	80	valid
612.0ms	13624×	pre	80	true