Details

sample446.0ms

Algorithm

intervals

Results

132.0ms	86×	body	2560	valid
96.0ms	111×	body	1280	valid
91.0ms	56×	body	10240	exit
54.0ms	312×	pre	80	true
35.0ms	32×	body	640	valid
6.0ms	16×	body	320	valid
1.0ms	10×	body	80	valid
0.0ms	1×	body	160	valid

simplify2.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	24
1	40	24
2	101	24
3	245	24
4	699	24
5	3583	24
done	5002	24

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.3b

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0)))
3.1b	(- (exp (* b eps)) 1.0)
3.3b	(- (exp (* a eps)) 1.0)
5.5b	(- (exp (* (+ a b) eps)) 1.0)

rewrite138.0ms

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:

72.0ms	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0)))
24.0ms	(- (exp (* b eps)) 1.0)
19.0ms	(- (exp (* a eps)) 1.0)
20.0ms	(- (exp (* (+ a b) eps)) 1.0)

series523.0ms

Counts

4 → 12

Calls

4 calls:

347.0ms	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0)))
57.0ms	(- (exp (* b eps)) 1.0)
51.0ms	(- (exp (* a eps)) 1.0)
68.0ms	(- (exp (* (+ a b) eps)) 1.0)

simplify1.1s

Counts

85 → 85

Iterations

Useful iterations: 2 (345.0ms)

Iter	Nodes	Cost
0	174	1783
1	486	1741
2	2552	1435
done	5000	1435

prune411.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite37.0ms

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:

36.0ms

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

series17.0ms

Counts

1 → 3

Calls

1 calls:

17.0ms

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

simplify978.0ms

Counts

22 → 22

Iterations

Useful iterations: 3 (289.0ms)

Iter	Nodes	Cost
0	40	229
1	102	216
2	360	196
3	1364	194
done	5001	194

prune48.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

10.8b

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

rewrite42.0ms

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:

41.0ms

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

series50.0ms

Counts

1 → 3

Calls

1 calls:

50.0ms

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

simplify2.0s

Counts

28 → 28

Iterations

Useful iterations: 2 (78.0ms)

Iter	Nodes	Cost
0	55	288
1	145	283
2	514	241
3	2276	241
done	5000	241

prune72.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ a b) a)
6.6b	(/ (/ (+ a b) a) b)

rewrite74.0ms

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:

22.0ms	(/ (+ a b) a)
43.0ms	(/ (/ (+ a b) a) b)

series88.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/ (+ a b) a)
51.0ms	(/ (/ (+ a b) a) b)

simplify1.1s

Counts

121 → 121

Iterations

Useful iterations: 2 (305.0ms)

Iter	Nodes	Cost
0	167	1597
1	401	1523
2	1857	1463
done	5002	1463

prune348.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes94.0ms

Accuracy

0% (3.2b remaining)

Error of 3.3b against oracle of 0.1b and baseline of 3.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	9	7
done	9	7

end0.0ms

sample15.8s

Algorithm

intervals

Results

5.8s	2572×	body	2560	valid
4.5s	3520×	body	1280	valid
3.5s	2016×	body	10240	exit
620.0ms	1031×	body	640	valid
377.0ms	10019×	pre	80	true
117.0ms	319×	body	320	valid
94.0ms	441×	body	80	valid
63.0ms	120×	body	160	valid