Details

sample206.0ms

Algorithm

intervals

Results

88.0ms	94×	body	1280	valid
60.0ms	105×	body	640	valid
17.0ms	256×	body	80	nan
10.0ms	31×	body	320	valid
4.0ms	20×	body	160	valid
1.0ms	6×	body	80	valid

simplify141.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	102
8	102
7	99
6	91
5	80
4	56
3	38
2	25
1	18
0	9

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.7b

localize26.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
4.6b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
41×	`add-sqr-sqrt`
40×	`times-frac`
26×	`log-prod`
23×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`distribute-lft-out--` `difference-of-squares`
7×	`add-exp-log`
5×	`associate-/r*`
4×	`add-cbrt-cube` `associate-/r/` `associate-/l*`
3×	`pow1`
2×	`flip3--` `div-exp` `rem-log-exp` `div-inv` `flip--` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `flip3-+` `log-pow` `flip-+`

Counts

2 → 82

Calls

2 calls:

36.0ms	(/ (+ 1.0 x) (- 1.0 x))
18.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series248.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(/ (+ 1.0 x) (- 1.0 x))
188.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify1.9s

Counts

88 → 88

Iterations

Iter	Nodes
done	5000
3	2876
2	859
1	330
0	142

prune372.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize27.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune29.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize48.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (+ 1.0 x))
0.1b	(* x (* x x))
4.6b	(log (/ (+ 1.0 x) (- (* (* 1.0 1.0) 1.0) (* x (* x x)))))
4.7b	(log (+ (* 1.0 1.0) (* x (+ 1.0 x))))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

27×	`*-un-lft-identity`
25×	`log-prod`
22×	`pow1`
20×	`add-sqr-sqrt`
17×	`add-cube-cbrt`
16×	`times-frac`
15×	`add-exp-log`
11×	`add-cbrt-cube`
6×	`associate-l`
5×	`cube-unmult` `associate-r` `pow-prod-up` `distribute-lft-out`
4×	`difference-cubes` `pow3` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`log-div` `rem-log-exp`
2×	`flip3-+` `associate-r/` `associate-/r/` `log-pow` `-commutative` `flip-+` `unswap-sqr`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `flip3--` `div-exp` `pow-sqr` `div-inv` `flip--`

Counts

4 → 94

Calls

4 calls:

15.0ms	(* x (+ 1.0 x))
13.0ms	(* x (* x x))
46.0ms	(log (/ (+ 1.0 x) (- (* (* 1.0 1.0) 1.0) (* x (* x x)))))
5.0ms	(log (+ (* 1.0 1.0) (* x (+ 1.0 x))))

series271.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* x (+ 1.0 x))
35.0ms	(* x (* x x))
97.0ms	(log (/ (+ 1.0 x) (- (* (* 1.0 1.0) 1.0) (* x (* x x)))))
89.0ms	(log (+ (* 1.0 1.0) (* x (+ 1.0 x))))

simplify1.4s

Counts

106 → 106

Iterations

Iter	Nodes
done	5007
2	1800
1	523
0	212

prune487.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (* x x))
2.0b	(log (/ 1 (sqrt (- (* (* 1.0 1.0) 1.0) (* x (* x x))))))
4.6b	(log (/ (+ 1.0 x) (sqrt (- (* (* 1.0 1.0) 1.0) (* x (* x x))))))
4.7b	(log (+ (* 1.0 1.0) (* x (+ 1.0 x))))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

64×	`log-prod`
50×	`*-un-lft-identity`
49×	`times-frac`
37×	`add-sqr-sqrt`
36×	`add-cube-cbrt`
28×	`sqrt-prod`
23×	`pow1`
18×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`cube-unmult`
7×	`difference-cubes` `rem-log-exp` `pow3` `log-pow` `distribute-lft-out`
5×	`pow-prod-up`
4×	`log-div` `sqrt-div` `associate-/r/` `add-log-exp`
3×	`div-exp` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `pow-flip`
2×	`flip3--` `div-inv` `flip--`
1×	`pow2` `rec-exp` `sqrt-pow1` `flip3-+` `pow-plus` `pow1/2` `1-exp` `associate-r` `log-rec` `pow-sqr` `*-commutative` `flip-+` `inv-pow` `unswap-sqr`

Counts

4 → 128

Calls

4 calls:

13.0ms	(* x (* x x))
33.0ms	(log (/ 1 (sqrt (- (* (* 1.0 1.0) 1.0) (* x (* x x))))))
39.0ms	(log (/ (+ 1.0 x) (sqrt (- (* (* 1.0 1.0) 1.0) (* x (* x x))))))
7.0ms	(log (+ (* 1.0 1.0) (* x (+ 1.0 x))))

series512.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* x (* x x))
249.0ms	(log (/ 1 (sqrt (- (* (* 1.0 1.0) 1.0) (* x (* x x))))))
139.0ms	(log (/ (+ 1.0 x) (sqrt (- (* (* 1.0 1.0) 1.0) (* x (* x x))))))
80.0ms	(log (+ (* 1.0 1.0) (* x (+ 1.0 x))))

simplify1.4s

Counts

140 → 140

Iterations

Iter	Nodes
done	5001
2	1623
1	680
0	317

prune816.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes79.0ms

Accuracy

0% (0.4b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	17
1	17
0	13

end0.0ms

sample5.7s

Algorithm

intervals

Results

2.7s	3438×	body	1280	valid
1.3s	2482×	body	640	valid
563.0ms	8160×	body	80	nan
449.0ms	619×	body	160	valid
380.0ms	1267×	body	320	valid
14.0ms	194×	body	80	valid