Details

sample534.0ms

Algorithm

intervals

Results

174.0ms	74×	body	10240	exit
146.0ms	111×	body	1280	valid
142.0ms	83×	body	2560	valid
19.0ms	35×	body	640	valid
10.0ms	330×	pre	80	true
4.0ms	10×	body	320	valid
2.0ms	15×	body	80	valid
0.0ms	2×	body	160	valid

simplify2.1s

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	692	24
5	3301	24
done	5001	24

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.1b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0)))
2.6b	(- (exp (* a eps)) 1.0)
3.3b	(- (exp (* b eps)) 1.0)
5.3b	(- (exp (* (+ a b) eps)) 1.0)

rewrite109.0ms

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:

59.0ms	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0)))
18.0ms	(- (exp (* a eps)) 1.0)
14.0ms	(- (exp (* b eps)) 1.0)
15.0ms	(- (exp (* (+ a b) eps)) 1.0)

series373.0ms

Counts

4 → 12

Calls

4 calls:

241.0ms	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0)))
42.0ms	(- (exp (* a eps)) 1.0)
34.0ms	(- (exp (* b eps)) 1.0)
56.0ms	(- (exp (* (+ a b) eps)) 1.0)

simplify1.2s

Counts

85 → 85

Iterations

Useful iterations: 2 (325.0ms)

Iter	Nodes	Cost
0	174	1783
1	477	1741
2	1996	1427
done	5001	1427

prune534.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite54.0ms

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:

52.0ms

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

series19.0ms

Counts

1 → 3

Calls

1 calls:

19.0ms

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

simplify4.0s

Counts

22 → 22

Iterations

Useful iterations: 3 (173.0ms)

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

prune56.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (/ 1 b) (/ 1 a))) (cbrt (+ (/ 1 b) (/ 1 a))))
0.5b	(cbrt (+ (/ 1 b) (/ 1 a)))
0.5b	(cbrt (+ (/ 1 b) (/ 1 a)))
0.5b	(cbrt (+ (/ 1 b) (/ 1 a)))

rewrite357.0ms

Algorithm

rewrite-expression-head

Rules

139×	`*-un-lft-identity`
114×	`cbrt-prod`
81×	`distribute-lft-out`
60×	`div-inv`
42×	`times-frac`
37×	`add-sqr-sqrt`
33×	`cbrt-div` `swap-sqr`
29×	`add-cube-cbrt`
13×	`associate-r` `associate-l`
11×	`pow1` `flip3-+` `frac-add` `flip-+`
9×	`frac-times` `pow1/3`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`associate-r/` `associate-l/`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 159

Calls

4 calls:

230.0ms	(* (cbrt (+ (/ 1 b) (/ 1 a))) (cbrt (+ (/ 1 b) (/ 1 a))))
30.0ms	(cbrt (+ (/ 1 b) (/ 1 a)))
36.0ms	(cbrt (+ (/ 1 b) (/ 1 a)))
39.0ms	(cbrt (+ (/ 1 b) (/ 1 a)))

series502.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(* (cbrt (+ (/ 1 b) (/ 1 a))) (cbrt (+ (/ 1 b) (/ 1 a))))
104.0ms	(cbrt (+ (/ 1 b) (/ 1 a)))
103.0ms	(cbrt (+ (/ 1 b) (/ 1 a)))
125.0ms	(cbrt (+ (/ 1 b) (/ 1 a)))

simplify2.2s

Counts

171 → 171

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	178	3472
1	390	3024
2	945	2832
3	2621	2461
done	5000	2431

prune499.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (/ 1 b) (/ 1 a)))
0.5b	(cbrt (+ (/ 1 b) (/ 1 a)))
0.5b	(cbrt (+ (/ 1 b) (/ 1 a)))
0.9b	(pow (cbrt (cbrt (+ (/ 1 b) (/ 1 a)))) 4)

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

59×	`*-un-lft-identity`
53×	`cbrt-prod`
28×	`distribute-lft-out`
24×	`times-frac`
19×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`unpow-prod-down` `div-inv`
9×	`cbrt-div`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `flip3-+` `frac-add` `flip-+`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 94

Calls

4 calls:

23.0ms	(cbrt (+ (/ 1 b) (/ 1 a)))
34.0ms	(cbrt (+ (/ 1 b) (/ 1 a)))
25.0ms	(cbrt (+ (/ 1 b) (/ 1 a)))
61.0ms	(pow (cbrt (cbrt (+ (/ 1 b) (/ 1 a)))) 4)

series633.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(cbrt (+ (/ 1 b) (/ 1 a)))
123.0ms	(cbrt (+ (/ 1 b) (/ 1 a)))
116.0ms	(cbrt (+ (/ 1 b) (/ 1 a)))
276.0ms	(pow (cbrt (cbrt (+ (/ 1 b) (/ 1 a)))) 4)

simplify2.1s

Counts

106 → 106

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	168	1776
1	405	1583
2	941	1444
3	2796	1421
done	5000	1405

prune475.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes97.0ms

Accuracy

0% (3.1b remaining)

Error of 3.2b against oracle of 0.1b and baseline of 3.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample15.6s

Algorithm

intervals

Results

5.6s	2480×	body	2560	valid
3.7s	3461×	body	1280	valid
3.5s	2093×	body	10240	exit
1.1s	10096×	pre	80	true
692.0ms	1113×	body	640	valid
176.0ms	369×	body	320	valid
153.0ms	431×	body	80	valid
35.0ms	149×	body	160	valid