Details

sample240.0ms

Algorithm

intervals

Results

111.0ms	105×	body	1280	valid
55.0ms	84×	body	640	valid
31.0ms	284×	body	80	nan
17.0ms	37×	body	320	valid
5.0ms	16×	body	160	valid
4.0ms	14×	body	80	valid

simplify241.0ms

Counts

1 → 1

Iterations

Iter	Nodes
10	184
9	184
8	180
7	178
6	146
5	124
4	89
3	61
2	29
1	21
0	9

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 56.9b

localize31.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (+ x 1) (- 1 x))
4.6b	(log (/ (+ x 1) (- 1 x)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

78×	`*-un-lft-identity`
52×	`add-sqr-sqrt`
48×	`times-frac`
30×	`log-prod`
25×	`add-cube-cbrt`
18×	`difference-of-squares`
13×	`distribute-lft-out`
9×	`distribute-lft-out--`
7×	`add-exp-log`
6×	`associate-/r*`
4×	`add-cbrt-cube` `associate-/r/` `associate-/l*`
3×	`pow1`
2×	`expm1-log1p-u` `flip3--` `div-exp` `rem-log-exp` `insert-posit16` `log1p-expm1-u` `div-inv` `flip--` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `flip3-+` `log-pow` `flip-+`

Counts

2 → 97

Calls

2 calls:

25.0ms	(/ (+ x 1) (- 1 x))
14.0ms	(log (/ (+ x 1) (- 1 x)))

series116.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(/ (+ x 1) (- 1 x))
87.0ms	(log (/ (+ x 1) (- 1 x)))

simplify794.0ms

Counts

103 → 103

Iterations

Iter	Nodes
3	2171
2	863
1	373
0	166

prune728.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 2/5 (pow x 5) (* x (+ (* x (* 2/3 x)) 2)))
0.0b	(* x (+ (* x (* 2/3 x)) 2))
0.1b	(* x (* 2/3 x))
0.4b	(* 2/3 x)

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `pow1` `add-cbrt-cube` `add-exp-log`
9×	`-un-lft-identity` `associate-l*` `add-cube-cbrt`
7×	`associate-r`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`associate-*r/` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+` `fma-udef`

Counts

4 → 78

Calls

4 calls:

0.0ms	(fma 2/5 (pow x 5) (* x (+ (* x (* 2/3 x)) 2)))
70.0ms	(* x (+ (* x (* 2/3 x)) 2))
23.0ms	(* x (* 2/3 x))
6.0ms	(* 2/3 x)

series258.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(fma 2/5 (pow x 5) (* x (+ (* x (* 2/3 x)) 2)))
129.0ms	(* x (+ (* x (* 2/3 x)) 2))
36.0ms	(* x (* 2/3 x))
19.0ms	(* 2/3 x)

simplify1.7s

Counts

90 → 90

Iterations

Iter	Nodes
3	3738
2	816
1	270
0	112

prune971.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 2/5 (pow x 5) (+ (* x (* x (* 2/3 x))) (* x 2)))
0.1b	(* x (* x (* 2/3 x)))
0.1b	(* x (* 2/3 x))
0.4b	(* 2/3 x)

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

0.0ms	(fma 2/5 (pow x 5) (+ (* x (* x (* 2/3 x))) (* x 2)))
58.0ms	(* x (* x (* 2/3 x)))
27.0ms	(* x (* 2/3 x))
7.0ms	(* 2/3 x)

series163.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(fma 2/5 (pow x 5) (+ (* x (* x (* 2/3 x))) (* x 2)))
53.0ms	(* x (* x (* 2/3 x)))
28.0ms	(* x (* 2/3 x))
16.0ms	(* 2/3 x)

simplify1.5s

Counts

89 → 89

Iterations

Iter	Nodes
3	2977
2	653
1	212
0	96

prune982.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma 2/5 (pow x 5) (* x (+ (* x (* 2/3 x)) 2)))) (cbrt (fma 2/5 (pow x 5) (* x (+ (* x (* 2/3 x)) 2)))))
0.7b	(cbrt (fma 2/5 (pow x 5) (* x (+ (* x (* 2/3 x)) 2))))
0.7b	(cbrt (fma 2/5 (pow x 5) (* x (+ (* x (* 2/3 x)) 2))))
0.7b	(cbrt (fma 2/5 (pow x 5) (* x (+ (* x (* 2/3 x)) 2))))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 85

Calls

4 calls:

8.0ms	(* (cbrt (fma 2/5 (pow x 5) (* x (+ (* x (* 2/3 x)) 2)))) (cbrt (fma 2/5 (pow x 5) (* x (+ (* x (* 2/3 x)) 2)))))
1.0ms	(cbrt (fma 2/5 (pow x 5) (* x (+ (* x (* 2/3 x)) 2))))
1.0ms	(cbrt (fma 2/5 (pow x 5) (* x (+ (* x (* 2/3 x)) 2))))
1.0ms	(cbrt (fma 2/5 (pow x 5) (* x (+ (* x (* 2/3 x)) 2))))

series861.0ms

Counts

4 → 12

Calls

4 calls:

252.0ms	(* (cbrt (fma 2/5 (pow x 5) (* x (+ (* x (* 2/3 x)) 2)))) (cbrt (fma 2/5 (pow x 5) (* x (+ (* x (* 2/3 x)) 2)))))
178.0ms	(cbrt (fma 2/5 (pow x 5) (* x (+ (* x (* 2/3 x)) 2))))
198.0ms	(cbrt (fma 2/5 (pow x 5) (* x (+ (* x (* 2/3 x)) 2))))
233.0ms	(cbrt (fma 2/5 (pow x 5) (* x (+ (* x (* 2/3 x)) 2))))

simplify1.0s

Counts

97 → 97

Iterations

Iter	Nodes
3	2554
2	783
1	322
0	143

prune1.1s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes36.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	20
1	20
0	14

end0.0ms

sample8.1s

Algorithm

intervals

Results

4.1s	3461×	body	1280	valid
1.7s	2479×	body	640	valid
915.0ms	8070×	body	80	nan
594.0ms	619×	body	160	valid
535.0ms	1222×	body	320	valid
25.0ms	219×	body	80	valid