Details

sample157.0ms

Algorithm

intervals

Results

32.0ms	435×	body	80	valid
16.0ms	435×	pre	80	true

simplify3.4s

Counts

1 → 1

Iterations

Iter	Nodes
6	3591
5	1094
4	330
3	97
2	39
1	17
0	8

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
18×	`prod-diff`
16×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
6×	`associate-r`
4×	`pow1` `add-cbrt-cube` `add-exp-log`
3×	`associate-l`
2×	`expm1-log1p-u` `sub-neg` `associate-*r/` `insert-posit16` `log1p-expm1-u` `add-log-exp` `difference-of-squares`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `flip--` `distribute-lft-out--` `unswap-sqr`

Counts

2 → 59

Calls

2 calls:

19.0ms	(* (fma (- 1 m) (/ m v) -1) (- 1 m))
1.0ms	(fma (- 1 m) (/ m v) -1)

series97.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(* (fma (- 1 m) (/ m v) -1) (- 1 m))
34.0ms	(fma (- 1 m) (/ m v) -1)

simplify2.5s

Counts

65 → 65

Iterations

Iter	Nodes
3	2320
2	625
1	234
0	121

prune395.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `associate-l`
8×	`*-un-lft-identity` `add-cube-cbrt` `fma-udef`
6×	`pow1` `add-cbrt-cube` `add-exp-log` `add-log-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`distribute-lft-neg-out` `distribute-lft-neg-in` `distribute-rgt-in` `distribute-rgt-neg-in` `distribute-lft-in` `associate-r`
2×	`associate-+l+` `associate-+r+`
1×	`+-commutative` `neg-mul-1` `sum-log` `fma-def` `flip3-+` `distribute-rgt-out` `unsub-neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 75

Calls

4 calls:

7.0ms	(+ (* 1 (fma (- 1 m) (/ m v) -1)) (* (- m) (fma (- 1 m) (/ m v) -1)))
0.0ms	(fma (- 1 m) (/ m v) -1)
0.0ms	(fma (- 1 m) (/ m v) -1)
7.0ms	(* (- m) (fma (- 1 m) (/ m v) -1))

series147.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(+ (* 1 (fma (- 1 m) (/ m v) -1)) (* (- m) (fma (- 1 m) (/ m v) -1)))
32.0ms	(fma (- 1 m) (/ m v) -1)
24.0ms	(fma (- 1 m) (/ m v) -1)
42.0ms	(* (- m) (fma (- 1 m) (/ m v) -1))

simplify2.4s

Counts

87 → 87

Iterations

Iter	Nodes
3	3320
2	879
1	277
0	100

prune770.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (- 1 m) (/ m v) -1)
0.1b	(* m (* m m))
6.3b	(/ (* m (* m m)) v)
13.3b	(/ (* m m) v)

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-cbrt-cube` `add-exp-log`
18×	`pow1`
10×	`add-sqr-sqrt`
9×	`*-un-lft-identity` `add-cube-cbrt`
7×	`prod-exp` `cbrt-unprod`
6×	`associate-/r*` `times-frac`
5×	`cbrt-undiv` `div-exp` `pow-prod-up`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `pow-prod-down`
2×	`clear-num` `frac-2neg` `div-inv` `associate-/l*`
1×	`pow2` `pow-plus` `cube-unmult` `associate-r` `pow-sqr` `*-commutative` `fma-udef` `unswap-sqr`

Counts

4 → 88

Calls

4 calls:

0.0ms	(fma (- 1 m) (/ m v) -1)
17.0ms	(* m (* m m))
43.0ms	(/ (* m (* m m)) v)
14.0ms	(/ (* m m) v)

series107.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(fma (- 1 m) (/ m v) -1)
40.0ms	(* m (* m m))
24.0ms	(/ (* m (* m m)) v)
21.0ms	(/ (* m m) v)

simplify1.2s

Counts

100 → 100

Iterations

Iter	Nodes
3	2837
2	786
1	241
0	115

prune741.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (sqrt m) m)
0.2b	(* (* (sqrt m) m) (* (sqrt m) m))
6.3b	(/ (* (* (sqrt m) m) (* (sqrt m) m)) v)
13.3b	(/ (* m m) v)

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

113×	`pow1`
55×	`pow-prod-up`
41×	`add-cbrt-cube` `add-exp-log`
36×	`pow-plus`
34×	`sqrt-pow1` `pow1/2`
27×	`pow-prod-down`
22×	`add-sqr-sqrt`
18×	`prod-exp` `cbrt-unprod`
13×	`pow-sqr`
11×	`*-un-lft-identity` `add-cube-cbrt`
7×	`cbrt-undiv` `cube-unmult` `div-exp` `associate-l`
6×	`associate-/r*` `times-frac`
4×	`expm1-log1p-u` `associate-r` `sqrt-prod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `-commutative` `div-inv` `associate-/l` `unswap-sqr`
1×	`pow2` `swap-sqr`

Counts

4 → 156

Calls

4 calls:

8.0ms	(* (sqrt m) m)
38.0ms	(* (* (sqrt m) m) (* (sqrt m) m))
71.0ms	(/ (* (* (sqrt m) m) (* (sqrt m) m)) v)
9.0ms	(/ (* m m) v)

series218.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (sqrt m) m)
73.0ms	(* (* (sqrt m) m) (* (sqrt m) m))
68.0ms	(/ (* (* (sqrt m) m) (* (sqrt m) m)) v)
36.0ms	(/ (* m m) v)

simplify5.8s

Counts

168 → 168

Iterations

Iter	Nodes
3	7088
2	1587
1	484
0	176

prune878.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes89.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
2	19
1	19
0	15

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.4s	13715×	body	80	valid
617.0ms	13715×	pre	80	true