Details

sample164.0ms

Algorithm

intervals

Results

40.0ms	469×	body	80	valid
19.0ms	469×	pre	80	true

simplify490.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2000
4	362
3	92
2	35
1	19
0	8

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize29.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
3×	`associate-r` `associate-l`
2×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

2 → 32

Calls

2 calls:

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

series114.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(fma (/ m v) (- 1 m) -1)
79.0ms	(* (fma (/ m v) (- 1 m) -1) m)

simplify926.0ms

Counts

38 → 38

Iterations

Iter	Nodes
done	2000
3	1572
2	312
1	104
0	53

prune121.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `associate-r`
10×	`pow1` `add-cbrt-cube` `add-exp-log`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`sqrt-prod`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative` `unswap-sqr`
1×	`fma-udef`

Counts

3 → 60

Calls

3 calls:

0.0ms	(fma (/ m v) (- 1 m) -1)
11.0ms	(* (fma (/ m v) (- 1 m) -1) (sqrt m))
20.0ms	(* (* (fma (/ m v) (- 1 m) -1) (sqrt m)) (sqrt m))

series140.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(fma (/ m v) (- 1 m) -1)
75.0ms	(* (fma (/ m v) (- 1 m) -1) (sqrt m))
45.0ms	(* (* (fma (/ m v) (- 1 m) -1) (sqrt m)) (sqrt m))

simplify660.0ms

Counts

69 → 69

Iterations

Iter	Nodes
done	2000
2	800
1	235
0	95

prune313.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt m))
0.2b	(* (fma (/ m v) (- 1 m) -1) (sqrt m))
0.3b	(* (* (* (fma (/ m v) (- 1 m) -1) (sqrt m)) (sqrt (sqrt m))) (sqrt (sqrt m)))
0.4b	(* (* (fma (/ m v) (- 1 m) -1) (sqrt m)) (sqrt (sqrt m)))

rewrite155.0ms

Algorithm

rewrite-expression-head

Rules

32×	`sqrt-prod`
24×	`associate-r`
22×	`pow1`
21×	`add-sqr-sqrt`
20×	`add-cbrt-cube` `add-exp-log`
15×	`*-un-lft-identity` `add-cube-cbrt`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`associate-l`
4×	`expm1-log1p-u` `sqrt-pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`rem-sqrt-square` `pow1/2` `unswap-sqr`

Counts

4 → 104

Calls

4 calls:

2.0ms	(sqrt (sqrt m))
7.0ms	(* (fma (/ m v) (- 1 m) -1) (sqrt m))
120.0ms	(* (* (* (fma (/ m v) (- 1 m) -1) (sqrt m)) (sqrt (sqrt m))) (sqrt (sqrt m)))
25.0ms	(* (* (fma (/ m v) (- 1 m) -1) (sqrt m)) (sqrt (sqrt m)))

series506.0ms

Counts

4 → 12

Calls

4 calls:

228.0ms	(sqrt (sqrt m))
85.0ms	(* (fma (/ m v) (- 1 m) -1) (sqrt m))
51.0ms	(* (* (* (fma (/ m v) (- 1 m) -1) (sqrt m)) (sqrt (sqrt m))) (sqrt (sqrt m)))
141.0ms	(* (* (fma (/ m v) (- 1 m) -1) (sqrt m)) (sqrt (sqrt m)))

simplify1.0s

Counts

116 → 116

Iterations

Iter	Nodes
done	2006
2	1632
1	475
0	175

prune575.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt m))
0.2b	(* (fma (/ m v) (- 1 m) -1) (* (sqrt m) (sqrt (sqrt m))))
0.3b	(* (* (fma (/ m v) (- 1 m) -1) (* (sqrt m) (sqrt (sqrt m)))) (sqrt (sqrt m)))
0.4b	(* (sqrt m) (sqrt (sqrt m)))

rewrite172.0ms

Algorithm

rewrite-expression-head

Rules

41×	`sqrt-prod`
31×	`add-sqr-sqrt` `pow1`
20×	`add-cbrt-cube` `add-exp-log`
19×	`associate-r`
15×	`*-un-lft-identity` `sqrt-pow1` `add-cube-cbrt`
12×	`pow-prod-down`
10×	`associate-l` `prod-exp` `cbrt-unprod`
9×	`pow1/2`
6×	`pow-prod-up` `unswap-sqr`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`rem-sqrt-square` `pow3`
1×	`sqrt-unprod`

Counts

4 → 119

Calls

4 calls:

2.0ms	(sqrt (sqrt m))
24.0ms	(* (fma (/ m v) (- 1 m) -1) (* (sqrt m) (sqrt (sqrt m))))
123.0ms	(* (* (fma (/ m v) (- 1 m) -1) (* (sqrt m) (sqrt (sqrt m)))) (sqrt (sqrt m)))
22.0ms	(* (sqrt m) (sqrt (sqrt m)))

series665.0ms

Counts

4 → 12

Calls

4 calls:

189.0ms	(sqrt (sqrt m))
133.0ms	(* (fma (/ m v) (- 1 m) -1) (* (sqrt m) (sqrt (sqrt m))))
77.0ms	(* (* (fma (/ m v) (- 1 m) -1) (* (sqrt m) (sqrt (sqrt m)))) (sqrt (sqrt m)))
265.0ms	(* (sqrt m) (sqrt (sqrt m)))

simplify958.0ms

Counts

131 → 131

Iterations

Iter	Nodes
done	2001
2	1340
1	460
0	177

prune584.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes125.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.8s	13668×	body	80	valid
625.0ms	13668×	pre	80	true