Details

sample245.0ms

Algorithm

intervals

Results

94.0ms	96×	body	2560	valid
59.0ms	66×	body	10240	exit
55.0ms	102×	body	1280	valid
9.0ms	31×	body	640	valid
5.0ms	322×	pre	80	true
2.0ms	9×	body	320	valid
1.0ms	16×	body	80	valid
0.0ms	2×	body	160	valid

simplify1.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	24
1	40	24
2	101	24
3	245	24
4	692	24
5	3301	24
done	5001	24

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.1b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0)))
2.5b	(- (exp (* b eps)) 1.0)
4.5b	(- (exp (* a eps)) 1.0)
6.2b	(- (exp (* (+ a b) eps)) 1.0)

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt` `flip3--` `*-un-lft-identity` `flip--` `add-log-exp`
8×	`associate-/r/`
4×	`pow1` `cbrt-undiv` `frac-times` `add-cube-cbrt` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod`
3×	`sub-neg` `diff-log` `distribute-lft-out--` `difference-of-squares`
2×	`associate-*l/` `associate-/l/`
1×	`frac-2neg` `times-frac` `clear-num` `associate-/r` `div-inv` `associate-/l`

Counts

4 → 73

Calls

4 calls:

48.0ms	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0)))
14.0ms	(- (exp (* b eps)) 1.0)
11.0ms	(- (exp (* a eps)) 1.0)
13.0ms	(- (exp (* (+ a b) eps)) 1.0)

series330.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0)))
37.0ms	(- (exp (* b eps)) 1.0)
35.0ms	(- (exp (* a eps)) 1.0)
50.0ms	(- (exp (* (+ a b) eps)) 1.0)

simplify729.0ms

Counts

85 → 85

Iterations

Useful iterations: 2 (238.0ms)

Iter	Nodes	Cost
0	174	1783
1	477	1741
2	1994	1427
done	5000	1427

prune327.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (/ 1 b) (/ 1 a))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
7×	`distribute-lft-out`
6×	`times-frac`
4×	`div-inv`
3×	`add-sqr-sqrt` `add-cube-cbrt` `add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `flip3-+` `frac-add` `sum-log` `add-cbrt-cube` `flip-+`

Counts

1 → 19

Calls

1 calls:

25.0ms

(+ (/ 1 b) (/ 1 a))

series11.0ms

Counts

1 → 3

Calls

1 calls:

11.0ms

(+ (/ 1 b) (/ 1 a))

simplify2.3s

Counts

22 → 22

Iterations

Useful iterations: 3 (95.0ms)

Iter	Nodes	Cost
0	40	229
1	102	216
2	233	196
3	459	194
4	1153	194
5	2581	194
done	5000	194

prune50.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

15.1b

(/ (+ a b) (* a b))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity`
6×	`add-exp-log` `add-cbrt-cube`
4×	`times-frac` `associate-/l*`
3×	`add-sqr-sqrt` `add-cube-cbrt`
2×	`cbrt-undiv` `div-exp` `associate-/l/` `distribute-lft-out`
1×	`pow1` `frac-2neg` `flip3-+` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 25

Calls

1 calls:

22.0ms

(/ (+ a b) (* a b))

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

(/ (+ a b) (* a b))

simplify2.7s

Counts

28 → 28

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	55	288
1	143	283
2	484	241
3	1737	241
done	5001	241

prune54.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ a b) a)
6.2b	(/ (/ (+ a b) a) b)

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

108×	`times-frac`
92×	`*-un-lft-identity`
60×	`add-sqr-sqrt` `add-cube-cbrt`
20×	`associate-/l*`
16×	`distribute-lft-out`
9×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/r*` `div-inv`
4×	`cbrt-undiv` `div-exp`
3×	`associate-/l/`
2×	`pow1` `frac-2neg` `clear-num` `add-log-exp`
1×	`flip3-+` `flip-+`

Counts

2 → 115

Calls

2 calls:

19.0ms	(/ (+ a b) a)
23.0ms	(/ (/ (+ a b) a) b)

series61.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(/ (+ a b) a)
39.0ms	(/ (/ (+ a b) a) b)

simplify1.5s

Counts

121 → 121

Iterations

Useful iterations: 2 (148.0ms)

Iter	Nodes	Cost
0	167	1597
1	370	1523
2	912	1459
3	2393	1459
done	5000	1459

prune209.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes115.0ms

Accuracy

60.8% (3.8b remaining)

Error of 3.9b against oracle of 0.1b and baseline of 9.8b

bsearch260.0ms

Steps

Iters	Range		Point
7	3.3644942695172693e-127	7.501569183738468e-126	7.398910124761133e-126
9	-5.339777395098786e-82	-3.588251449167112e-88	-3.9620659980267865e-85

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	15	31
1	22	25
done	22	25

end0.0ms

sample7.2s

Algorithm

intervals

Results

2.6s	2551×	body	2560	valid
1.8s	1952×	body	10240	exit
1.8s	3461×	body	1280	valid
319.0ms	1037×	body	640	valid
153.0ms	9954×	pre	80	true
74.0ms	377×	body	320	valid
25.0ms	436×	body	80	valid
18.0ms	140×	body	160	valid