Details

sample168.0ms

Algorithm

intervals

Results

96.0ms	118×	body	1280	valid
27.0ms	70×	body	640	valid
11.0ms	267×	body	80	nan
11.0ms	46×	body	320	valid
2.0ms	17×	body	160	valid
0.0ms	5×	body	80	valid

simplify21.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	8
1	15	8
2	20	8
3	23	8
done	23	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.1b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
6.0b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite56.0ms

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-/l*`
4×	`associate-/r*` `associate-/r/` `add-cbrt-cube`
3×	`pow1`
2×	`flip3-+` `div-exp` `rem-log-exp` `flip-+` `div-inv` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `log-div` `flip3--` `frac-2neg` `div-sub` `clear-num` `log-pow` `flip--`

Counts

2 → 83

Calls

2 calls:

23.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
12.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series240.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
200.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify757.0ms

Counts

89 → 89

Iterations

Useful iterations: done (753.0ms)

Iter	Nodes	Cost
0	143	1284
1	349	1221
2	1325	1156
done	5002	1154

prune289.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 2.0 (pow eps 2))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`associate-r`
6×	`add-exp-log`
4×	`add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity` `unswap-sqr`
3×	`associate-l` `prod-exp` `add-cbrt-cube`
2×	`unpow2` `sqr-pow`
1×	`pow1` `pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod` `add-log-exp`

Counts

1 → 27

Calls

1 calls:

25.0ms

(* 2.0 (pow eps 2))

series49.0ms

Counts

1 → 3

Calls

1 calls:

49.0ms

(* 2.0 (pow eps 2))

simplify3.2s

Counts

30 → 30

Iterations

Useful iterations: done (3.2s)

Iter	Nodes	Cost
0	51	232
1	115	209
2	431	178
3	2950	176
done	5002	173

prune80.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
0.0b	(* (sqrt (log (/ (- 1.0 eps) (+ 1.0 eps)))) (sqrt (log (/ (- 1.0 eps) (+ 1.0 eps)))))
6.0b	(log (/ (- 1.0 eps) (+ 1.0 eps)))
6.0b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

103×	`*-un-lft-identity`
81×	`add-sqr-sqrt`
60×	`times-frac`
52×	`log-prod`
43×	`add-cube-cbrt`
27×	`pow1`
26×	`sqrt-prod`
16×	`distribute-lft-out`
14×	`add-exp-log`
13×	`distribute-lft-out--` `difference-of-squares`
11×	`swap-sqr`
8×	`sqrt-pow1` `pow1/2` `log-pow` `add-cbrt-cube`
7×	`associate-r` `associate-l`
6×	`associate-/r/`
5×	`pow-prod-up` `associate-/l*`
4×	`rem-log-exp` `associate-/r*` `add-log-exp` `unswap-sqr`
3×	`flip3-+` `div-exp` `pow-prod-down` `pow-sqr` `flip-+` `div-inv`
2×	`log-div` `associate-/l/`
1×	`cbrt-undiv` `pow2` `flip3--` `frac-2neg` `pow-plus` `sqrt-unprod` `div-sub` `prod-exp` `clear-num` `rem-square-sqrt` `*-commutative` `flip--` `cbrt-unprod`

Counts

4 → 174

Calls

4 calls:

45.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
21.0ms	(* (sqrt (log (/ (- 1.0 eps) (+ 1.0 eps)))) (sqrt (log (/ (- 1.0 eps) (+ 1.0 eps)))))
10.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))
11.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series584.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
186.0ms	(* (sqrt (log (/ (- 1.0 eps) (+ 1.0 eps)))) (sqrt (log (/ (- 1.0 eps) (+ 1.0 eps)))))
186.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))
163.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify1.3s

Counts

186 → 186

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	185	3224
1	451	2588
2	1991	2389
done	5000	2354

prune442.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- (sqrt 1.0) (sqrt eps)) (+ 1.0 eps))
5.7b	(+ (log (+ (sqrt 1.0) (sqrt eps))) (log (/ (- (sqrt 1.0) (sqrt eps)) (+ 1.0 eps))))
7.7b	(log (/ (- (sqrt 1.0) (sqrt eps)) (+ 1.0 eps)))
7.8b	(log (+ (sqrt 1.0) (sqrt eps)))

rewrite176.0ms

Algorithm

rewrite-expression-head

Rules

169×	`*-un-lft-identity`
153×	`add-sqr-sqrt`
108×	`times-frac`
94×	`log-prod`
82×	`sqrt-prod`
52×	`difference-of-squares`
49×	`add-cube-cbrt`
42×	`associate-+r+`
36×	`distribute-lft-out`
26×	`distribute-lft-out--`
10×	`pow1` `add-exp-log`
9×	`associate-/l*`
6×	`log-div` `flip3-+` `associate-/r/` `log-pow` `add-cbrt-cube` `flip-+`
5×	`associate-+l+`
4×	`associate-/r*` `add-log-exp`
3×	`rem-log-exp` `div-inv`
2×	`associate-+l-` `div-exp` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `associate-+r-` `flip3--` `frac-2neg` `div-sub` `clear-num` `sum-log` `flip--`

Counts

4 → 200

Calls

4 calls:

60.0ms	(/ (- (sqrt 1.0) (sqrt eps)) (+ 1.0 eps))
69.0ms	(+ (log (+ (sqrt 1.0) (sqrt eps))) (log (/ (- (sqrt 1.0) (sqrt eps)) (+ 1.0 eps))))
16.0ms	(log (/ (- (sqrt 1.0) (sqrt eps)) (+ 1.0 eps)))
9.0ms	(log (+ (sqrt 1.0) (sqrt eps)))

series1.4s

Counts

4 → 12

Calls

4 calls:

114.0ms	(/ (- (sqrt 1.0) (sqrt eps)) (+ 1.0 eps))
618.0ms	(+ (log (+ (sqrt 1.0) (sqrt eps))) (log (/ (- (sqrt 1.0) (sqrt eps)) (+ 1.0 eps))))
455.0ms	(log (/ (- (sqrt 1.0) (sqrt eps)) (+ 1.0 eps)))
185.0ms	(log (+ (sqrt 1.0) (sqrt eps)))

simplify1.7s

Counts

212 → 212

Iterations

Useful iterations: 2 (529.0ms)

Iter	Nodes	Cost
0	321	4554
1	847	4255
2	3680	4048
done	5002	4048

prune501.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.1b

regimes54.0ms

Accuracy

0% (0.5b remaining)

Error of 0.7b against oracle of 0.2b and baseline of 0.7b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	20
1	17	20
done	17	20

end0.0ms

sample4.4s

Algorithm

intervals

Results

2.0s	3344×	body	1280	valid
841.0ms	2494×	body	640	valid
792.0ms	8113×	body	80	nan
274.0ms	1284×	body	320	valid
73.0ms	646×	body	160	valid
42.0ms	232×	body	80	valid