Details

sample412.0ms

Algorithm

intervals

Results

132.0ms	87×	body	2560	valid
92.0ms	96×	body	1280	valid
89.0ms	60×	body	10240	exit
44.0ms	317×	pre	80	true
19.0ms	37×	body	640	valid
4.0ms	12×	body	320	valid
2.0ms	21×	body	80	valid
1.0ms	4×	body	160	valid

simplify2.0s

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.7b

localize22.0ms

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)))
3.3b	(- (exp (* a eps)) 1.0)
4.4b	(- (exp (* b eps)) 1.0)
6.5b	(- (exp (* (+ a b) eps)) 1.0)

rewrite129.0ms

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:

70.0ms	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0)))
17.0ms	(- (exp (* a eps)) 1.0)
15.0ms	(- (exp (* b eps)) 1.0)
20.0ms	(- (exp (* (+ a b) eps)) 1.0)

series483.0ms

Counts

4 → 12

Calls

4 calls:

312.0ms	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0)))
60.0ms	(- (exp (* a eps)) 1.0)
41.0ms	(- (exp (* b eps)) 1.0)
70.0ms	(- (exp (* (+ a b) eps)) 1.0)

simplify1.5s

Counts

85 → 85

Iterations

Useful iterations: 2 (399.0ms)

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

prune490.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite30.0ms

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:

29.0ms

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

series18.0ms

Counts

1 → 3

Calls

1 calls:

18.0ms

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

simplify3.7s

Counts

22 → 22

Iterations

Useful iterations: 3 (179.0ms)

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

prune52.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

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)))

rewrite366.0ms

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:

267.0ms	(* (cbrt (+ (/ 1 b) (/ 1 a))) (cbrt (+ (/ 1 b) (/ 1 a))))
40.0ms	(cbrt (+ (/ 1 b) (/ 1 a)))
18.0ms	(cbrt (+ (/ 1 b) (/ 1 a)))
17.0ms	(cbrt (+ (/ 1 b) (/ 1 a)))

series458.0ms

Counts

4 → 12

Calls

4 calls:

164.0ms	(* (cbrt (+ (/ 1 b) (/ 1 a))) (cbrt (+ (/ 1 b) (/ 1 a))))
99.0ms	(cbrt (+ (/ 1 b) (/ 1 a)))
96.0ms	(cbrt (+ (/ 1 b) (/ 1 a)))
98.0ms	(cbrt (+ (/ 1 b) (/ 1 a)))

simplify1.9s

Counts

171 → 171

Iterations

Useful iterations: done (1.9s)

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 (1 fresh and 3 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

11.8b

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

rewrite33.0ms

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:

32.0ms

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

series58.0ms

Counts

1 → 3

Calls

1 calls:

58.0ms

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

simplify4.5s

Counts

28 → 28

Iterations

Useful iterations: 2 (102.0ms)

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

prune67.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes136.0ms

Accuracy

77.5% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 3.4b

bsearch4.0ms

simplify9.0ms

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	27	92
1	39	86
done	39	86

end0.0ms

sample15.1s

Algorithm

intervals

Results

4.8s	2577×	body	2560	valid
4.3s	3446×	body	1280	valid
3.4s	1986×	body	10240	exit
1.1s	1034×	body	640	valid
867.0ms	9989×	pre	80	true
132.0ms	374×	body	320	valid
46.0ms	451×	body	80	valid
25.0ms	121×	body	160	valid