Details

sample120.0ms

Algorithm

intervals

Results

17.0ms	442×	body	80	valid
10.0ms	442×	pre	80	true

simplify4.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	2121
4	469
3	119
2	41
1	19
0	8

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

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))

rewrite137.0ms

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:

16.0ms	(* m (- 1 m))
19.0ms	(/ (* m (- 1 m)) v)
99.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))

series190.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(* m (- 1 m))
59.0ms	(/ (* m (- 1 m)) v)
50.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))

simplify1.8s

Counts

141 → 141

Iterations

Iter	Nodes
done	5001
2	1620
1	571
0	226

prune477.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ m v) (/ (* m m) v))
0.1b	(* (- (- (/ m v) (/ (* m m) v)) 1) (- 1 m))
10.6b	(/ (* m m) v)

rewrite346.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 214

Calls

3 calls:

28.0ms	(- (/ m v) (/ (* m m) v))
302.0ms	(* (- (- (/ m v) (/ (* m m) v)) 1) (- 1 m))
9.0ms	(/ (* m m) v)

series137.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(- (/ m v) (/ (* m m) v))
52.0ms	(* (- (- (/ m v) (/ (* m m) v)) 1) (- 1 m))
34.0ms	(/ (* m m) v)

simplify3.0s

Counts

223 → 223

Iterations

Iter	Nodes
done	5001
2	2947
1	914
0	352

prune992.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

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

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
36×	`prod-diff`
34×	`add-cube-cbrt`
21×	`sqrt-prod`
20×	`distribute-rgt-in` `distribute-lft-in`
16×	`add-cbrt-cube` `add-exp-log`
9×	`associate-r`
6×	`pow1` `associate-/r*` `times-frac`
4×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `associate-*l/` `insert-posit16` `log1p-expm1-u` `add-log-exp` `difference-of-squares` `associate-/l/`
3×	`flip3--` `associate-l` `prod-exp` `cbrt-unprod` `flip--`
2×	`clear-num` `sub-neg` `frac-2neg` `associate-r/` `div-inv` `associate-/l` `distribute-lft-out--`
1×	`pow-prod-down` `*-commutative` `fma-udef` `unswap-sqr`

Counts

4 → 132

Calls

4 calls:

30.0ms	(/ (* (- 1 m) m) v)
35.0ms	(/ (* (- 1 m) m) v)
0.0ms	(fma (sqrt m) (- (/ (* (- 1 m) m) v) 1) (- (/ (* (- 1 m) m) v) 1))
20.0ms	(* (fma (sqrt m) (- (/ (* (- 1 m) m) v) 1) (- (/ (* (- 1 m) m) v) 1)) (- 1 (sqrt m)))

series361.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(/ (* (- 1 m) m) v)
54.0ms	(/ (* (- 1 m) m) v)
105.0ms	(fma (sqrt m) (- (/ (* (- 1 m) m) v) 1) (- (/ (* (- 1 m) m) v) 1))
138.0ms	(* (fma (sqrt m) (- (/ (* (- 1 m) m) v) 1) (- (/ (* (- 1 m) m) v) 1)) (- 1 (sqrt m)))

simplify2.4s

Counts

144 → 144

Iterations

Iter	Nodes
done	5000
2	1356
1	468
0	213

prune768.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt m)
10.6b	(/ (* m m) v)
10.6b	(/ (* m m) v)
60.1b	(fma (- (cbrt m)) (* (cbrt m) (cbrt m)) (* (cbrt m) (* (cbrt m) (cbrt m))))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-cbrt-cube` `add-exp-log`
9×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`associate-/r*` `times-frac`
4×	`expm1-log1p-u` `pow1` `cbrt-undiv` `div-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod`
2×	`clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l*`
1×	`pow1/3` `fma-udef`

Counts

4 → 73

Calls

4 calls:

1.0ms	(cbrt m)
18.0ms	(/ (* m m) v)
27.0ms	(/ (* m m) v)
0.0ms	(fma (- (cbrt m)) (* (cbrt m) (cbrt m)) (* (cbrt m) (* (cbrt m) (cbrt m))))

series1.2s

Counts

4 → 12

Calls

4 calls:

297.0ms	(cbrt m)
21.0ms	(/ (* m m) v)
37.0ms	(/ (* m m) v)
823.0ms	(fma (- (cbrt m)) (* (cbrt m) (cbrt m)) (* (cbrt m) (* (cbrt m) (cbrt m))))

simplify1.8s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	799
1	203
0	88

prune614.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes145.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	12
1	12
0	8

end0.0ms

sample1.7s

Algorithm

intervals

Results

954.0ms	13850×	body	80	valid
441.0ms	13850×	pre	80	true