Details

sample182.0ms

Algorithm

intervals

Results

44.0ms	420×	body	80	valid
21.0ms	420×	pre	80	true

simplify3.2s

Counts

1 → 1

Iterations

Iter	Nodes
6	3419
5	1111
4	331
3	99
2	41
1	19
0	8

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
36×	`prod-diff`
33×	`add-cube-cbrt`
22×	`distribute-rgt-in` `distribute-lft-in`
12×	`add-cbrt-cube` `associate-r` `add-exp-log`
10×	`associate-l`
8×	`flip3--` `flip--`
7×	`pow1`
6×	`associate-*r/` `difference-of-squares`
4×	`frac-times` `sub-neg`
3×	`expm1-log1p-u` `associate-/r*` `times-frac` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `difference-of-sqr-1` `div-inv` `associate-/l*`

Counts

3 → 132

Calls

3 calls:

23.0ms	(* m (- 1 m))
14.0ms	(/ (* m (- 1 m)) v)
100.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))

series171.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(* m (- 1 m))
42.0ms	(/ (* m (- 1 m)) v)
61.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))

simplify2.7s

Counts

141 → 141

Iterations

Iter	Nodes
3	4798
2	1558
1	543
0	226

prune1.2s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite224.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 225

Calls

3 calls:

17.0ms	(/ v (- 1 m))
20.0ms	(/ m (/ v (- 1 m)))
179.0ms	(* (- (/ m (/ v (- 1 m))) 1) (- 1 m))

series144.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(/ v (- 1 m))
43.0ms	(/ m (/ v (- 1 m)))
54.0ms	(* (- (/ m (/ v (- 1 m))) 1) (- 1 m))

simplify1.0s

Counts

234 → 234

Iterations

Iter	Nodes
2	2976
1	913
0	376

prune2.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

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

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt` `*-un-lft-identity`
36×	`prod-diff`
32×	`add-cube-cbrt`
23×	`sqrt-prod`
21×	`distribute-rgt-in` `distribute-lft-in`
12×	`associate-r`
11×	`pow1` `add-cbrt-cube` `add-exp-log`
10×	`associate-*l/`
6×	`associate-l` `add-log-exp`
5×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `frac-times` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `distribute-lft-out` `difference-of-squares`
3×	`fma-def` `flip3--` `fma-udef` `flip--`
2×	`sub-neg` `associate-r/` `-commutative` `distribute-lft-out--`
1×	`+-commutative` `sum-log` `unswap-sqr`

Counts

4 → 132

Calls

4 calls:

9.0ms	(+ 1 (sqrt m))
0.0ms	(fma (/ m v) (- 1 m) -1)
81.0ms	(* (* (+ 1 (sqrt m)) (fma (/ m v) (- 1 m) -1)) (- 1 (sqrt m)))
32.0ms	(* (+ 1 (sqrt m)) (fma (/ m v) (- 1 m) -1))

series329.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(+ 1 (sqrt m))
30.0ms	(fma (/ m v) (- 1 m) -1)
121.0ms	(* (* (+ 1 (sqrt m)) (fma (/ m v) (- 1 m) -1)) (- 1 (sqrt m)))
131.0ms	(* (+ 1 (sqrt m)) (fma (/ m v) (- 1 m) -1))

simplify692.0ms

Counts

144 → 144

Iterations

Iter	Nodes
2	2183
1	684
0	232

prune1.6s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (- 1 m))
0.1b	(cbrt (- 1 m))
0.1b	(cbrt (- 1 m))
0.1b	(* (cbrt (- 1 m)) (cbrt (- 1 m)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

50×	`cbrt-prod`
44×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
14×	`difference-of-squares`
11×	`pow1` `swap-sqr`
9×	`flip3--` `pow1/3` `associate-r` `associate-l` `flip--` `distribute-lft-out--`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 119

Calls

4 calls:

3.0ms	(cbrt (- 1 m))
3.0ms	(cbrt (- 1 m))
4.0ms	(cbrt (- 1 m))
32.0ms	(* (cbrt (- 1 m)) (cbrt (- 1 m)))

series208.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(cbrt (- 1 m))
65.0ms	(cbrt (- 1 m))
42.0ms	(cbrt (- 1 m))
64.0ms	(* (cbrt (- 1 m)) (cbrt (- 1 m)))

simplify1.7s

Counts

131 → 131

Iterations

Iter	Nodes
4	3738
3	1503
2	675
1	307
0	144

prune1.5s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes109.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	11
1	11
0	8

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.7s	13653×	body	80	valid
625.0ms	13653×	pre	80	true