Details

sample163.0ms

Algorithm

intervals

Results

82.0ms	109×	body	1280	valid
34.0ms	81×	body	640	valid
13.0ms	276×	body	80	nan
9.0ms	36×	body	320	valid
3.0ms	19×	body	160	valid
1.0ms	11×	body	80	valid

simplify18.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	22	8
2	23	8
done	23	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.1b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
6.3b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite83.0ms

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:

65.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
11.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series265.0ms

Counts

2 → 6

Calls

2 calls:

71.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
195.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify2.0s

Counts

89 → 89

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	143	1284
1	867	1214
done	5000	1128

prune287.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.3b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ (pow eps 2) (pow 1.0 2)) eps)
0.0b	(* 2.0 (pow eps 2))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
8×	`associate-r`
7×	`add-exp-log` `*-un-lft-identity`
5×	`add-cube-cbrt`
4×	`unpow-prod-down` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1` `unpow2` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `flip3-+` `pow-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out`

Counts

2 → 39

Calls

2 calls:

88.0ms	(+ (/ (pow eps 2) (pow 1.0 2)) eps)
21.0ms	(* 2.0 (pow eps 2))

series131.0ms

Counts

2 → 6

Calls

2 calls:

98.0ms	(+ (/ (pow eps 2) (pow 1.0 2)) eps)
33.0ms	(* 2.0 (pow eps 2))

simplify2.0s

Counts

45 → 45

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	78	443
1	1111	402
done	5001	349

prune220.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.3b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (pow eps 2) (pow 1.0 2)) eps)
0.0b	(* 2.0 (pow eps 2))
2.4b	(exp (log (+ (/ (pow eps 2) (pow 1.0 2)) eps)))

rewrite184.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
8×	`add-exp-log` `add-cube-cbrt` `associate-r`
5×	`add-cbrt-cube` `add-log-exp`
4×	`pow1` `unpow-prod-down` `log-prod` `exp-prod` `exp-sum` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`log-div` `flip3-+` `exp-diff` `flip-+` `distribute-lft-out` `unpow2` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `pow-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `rem-exp-log`

Counts

3 → 57

Calls

3 calls:

77.0ms	(+ (/ (pow eps 2) (pow 1.0 2)) eps)
23.0ms	(* 2.0 (pow eps 2))
83.0ms	(exp (log (+ (/ (pow eps 2) (pow 1.0 2)) eps)))

series250.0ms

Counts

3 → 9

Calls

3 calls:

115.0ms	(+ (/ (pow eps 2) (pow 1.0 2)) eps)
37.0ms	(* 2.0 (pow eps 2))
98.0ms	(exp (log (+ (/ (pow eps 2) (pow 1.0 2)) eps)))

simplify2.6s

Counts

66 → 66

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	108	789
1	1161	679
done	5000	588

prune274.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.3b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (pow eps 2) (pow 1.0 2)) eps)
0.0b	(* 2.0 (pow eps 2))
2.5b	(pow E (log (+ (/ (pow eps 2) (pow 1.0 2)) eps)))

rewrite165.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
9×	`add-exp-log` `add-cube-cbrt`
8×	`associate-r`
7×	`unpow-prod-down`
5×	`pow1` `add-cbrt-cube` `add-log-exp`
4×	`unpow-prod-up` `pow-unpow` `log-prod` `unswap-sqr`
3×	`associate-l` `pow-exp` `prod-exp` `sqr-pow`
2×	`pow-to-exp` `log-div` `flip3-+` `flip-+` `distribute-lft-out` `unpow2` `pow-sub`
1×	`+-commutative` `e-exp-1` `pow-pow` `sum-log` `log-pow` `*-commutative` `cbrt-unprod`

Counts

3 → 64

Calls

3 calls:

73.0ms	(+ (/ (pow eps 2) (pow 1.0 2)) eps)
29.0ms	(* 2.0 (pow eps 2))
59.0ms	(pow E (log (+ (/ (pow eps 2) (pow 1.0 2)) eps)))

series319.0ms

Counts

3 → 9

Calls

3 calls:

99.0ms	(+ (/ (pow eps 2) (pow 1.0 2)) eps)
35.0ms	(* 2.0 (pow eps 2))
185.0ms	(pow E (log (+ (/ (pow eps 2) (pow 1.0 2)) eps)))

simplify2.7s

Counts

73 → 73

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	159	1090
1	1997	989
done	5002	893

prune311.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.3b

regimes154.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample5.2s

Algorithm

intervals

Results

2.8s	3383×	body	1280	valid
903.0ms	2513×	body	640	valid
527.0ms	7937×	body	80	nan
337.0ms	1257×	body	320	valid
84.0ms	643×	body	160	valid
12.0ms	204×	body	80	valid