Details

sample86.0ms

Algorithm

intervals

Results

44.0ms	108×	body	1280	valid
19.0ms	87×	body	640	valid
6.0ms	259×	body	80	nan
5.0ms	38×	body	320	valid
1.0ms	18×	body	160	valid
0.0ms	5×	body	80	valid

simplify8.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.8b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
5.6b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite22.0ms

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:

10.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
6.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series163.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
125.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify1.3s

Counts

89 → 89

Iterations

Useful iterations: 3 (410.0ms)

Iter	Nodes	Cost
0	143	1284
1	336	1221
2	817	1154
3	2211	1123
done	5000	1123

prune172.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
6×	`*-un-lft-identity` `add-log-exp`
4×	`difference-of-squares`
2×	`diff-log` `distribute-lft-out--`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `unpow-prod-down` `flip3--` `sum-log` `add-cbrt-cube` `flip--` `distribute-lft-out` `associate--r+` `unpow2` `sqr-pow`

Counts

1 → 20

Calls

1 calls:

99.0ms

(- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps))

series97.0ms

Counts

1 → 3

Calls

1 calls:

95.0ms

(- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps))

simplify630.0ms

Counts

23 → 23

Iterations

Useful iterations: done (629.0ms)

Iter	Nodes	Cost
0	51	451
1	124	423
2	334	383
3	1027	381
done	5001	349

prune51.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 1 expressions with local error:

3.1b	(exp (log (- (* eps (- eps (/ eps (pow 1.0 2)))) eps)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

4×	`exp-prod`
3×	`add-sqr-sqrt` `add-cube-cbrt` `log-prod` `*-un-lft-identity` `exp-sum`
2×	`pow1` `log-div` `exp-diff`
1×	`add-exp-log` `flip3--` `log-pow` `add-cbrt-cube` `flip--` `rem-exp-log` `add-log-exp`

Counts

1 → 17

Calls

1 calls:

19.0ms

(exp (log (- (* eps (- eps (/ eps (pow 1.0 2)))) eps)))

series100.0ms

Counts

1 → 3

Calls

1 calls:

100.0ms

(exp (log (- (* eps (- eps (/ eps (pow 1.0 2)))) eps)))

simplify1.6s

Counts

20 → 20

Iterations

Useful iterations: 4 (617.0ms)

Iter	Nodes	Cost
0	56	372
1	104	325
2	246	281
3	754	275
4	3407	269
done	5000	269

prune49.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 1 expressions with local error:

3.4b	(pow E (log (- (* eps (- eps (/ eps (pow 1.0 2)))) eps)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `add-cube-cbrt` `pow-unpow` `*-un-lft-identity`
3×	`pow1` `unpow-prod-up` `unpow-prod-down` `log-prod`
2×	`add-exp-log` `log-div` `pow-exp` `pow-sub`
1×	`pow-to-exp` `e-exp-1` `flip3--` `pow-pow` `log-pow` `add-cbrt-cube` `flip--` `add-log-exp` `sqr-pow`

Counts

1 → 24

Calls

1 calls:

17.0ms

(pow E (log (- (* eps (- eps (/ eps (pow 1.0 2)))) eps)))

series390.0ms

Counts

1 → 3

Calls

1 calls:

389.0ms

(pow E (log (- (* eps (- eps (/ eps (pow 1.0 2)))) eps)))

simplify1.8s

Counts

27 → 27

Iterations

Useful iterations: 4 (854.0ms)

Iter	Nodes	Cost
0	78	587
1	186	540
2	423	499
3	1098	490
4	3922	488
done	5001	488

prune64.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

regimes21.0ms

Accuracy

0% (0.4b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	18
1	15	18
done	15	18

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.4s	3365×	body	1280	valid
553.0ms	2489×	body	640	valid
180.0ms	8082×	body	80	nan
162.0ms	1260×	body	320	valid
55.0ms	683×	body	160	valid
7.0ms	203×	body	80	valid