Details

sample350.0ms

Algorithm

intervals

Results

105.0ms	85×	body	2560	valid
80.0ms	97×	body	1280	valid
75.0ms	63×	body	10240	exit
38.0ms	319×	pre	80	true
17.0ms	39×	body	640	valid
4.0ms	14×	body	320	valid
1.0ms	16×	body	80	valid
1.0ms	5×	body	160	valid

simplify2.2s

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: 59.9b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0))
3.4b	(- (exp (* b eps)) 1.0)
5.0b	(- (exp (* a eps)) 1.0)
6.6b	(- (exp (* (+ a b) eps)) 1.0)

rewrite155.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
10×	`add-log-exp`
9×	`flip3--` `flip--`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
5×	`sub-neg` `associate-r` `associate-l` `distribute-lft-out--` `difference-of-squares`
4×	`frac-times`
3×	`diff-log`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-r/` `associate-l/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 76

Calls

4 calls:

105.0ms	(* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0))
13.0ms	(- (exp (* b eps)) 1.0)
20.0ms	(- (exp (* a eps)) 1.0)
15.0ms	(- (exp (* (+ a b) eps)) 1.0)

series263.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0))
52.0ms	(- (exp (* b eps)) 1.0)
59.0ms	(- (exp (* a eps)) 1.0)
92.0ms	(- (exp (* (+ a b) eps)) 1.0)

simplify992.0ms

Counts

88 → 88

Iterations

Useful iterations: done (988.0ms)

Iter	Nodes	Cost
0	143	1364
1	345	1326
2	1232	1196
done	5001	1190

prune866.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 47.5b

localize36.0ms

Local error

Found 4 expressions with local error:

5.0b	(- (exp (* a eps)) 1.0)
6.6b	(- (exp (* (+ a b) eps)) 1.0)
8.4b	(* (* 1/2 (pow eps 2)) b)
17.9b	(* (pow eps 3) (pow b 3))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
26×	`add-exp-log`
16×	`prod-exp` `unswap-sqr`
15×	`-un-lft-identity` `associate-r*`
14×	`unpow-prod-down` `cube-prod`
13×	`associate-l`
11×	`add-cube-cbrt` `add-cbrt-cube`
10×	`sqr-pow`
8×	`add-log-exp`
7×	`pow-to-exp` `pow-exp`
6×	`pow1`
4×	`cbrt-unprod`
2×	`cube-mult` `sub-neg` `flip3--` `diff-log` `unpow3` `pow-prod-down` `*-commutative` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 106

Calls

4 calls:

13.0ms	(- (exp (* a eps)) 1.0)
14.0ms	(- (exp (* (+ a b) eps)) 1.0)
32.0ms	(* (* 1/2 (pow eps 2)) b)
27.0ms	(* (pow eps 3) (pow b 3))

series224.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(- (exp (* a eps)) 1.0)
57.0ms	(- (exp (* (+ a b) eps)) 1.0)
24.0ms	(* (* 1/2 (pow eps 2)) b)
100.0ms	(* (pow eps 3) (pow b 3))

simplify1.3s

Counts

118 → 118

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	176	1341
1	414	1202
2	1498	1122
done	5000	1117

prune702.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 46.9b

localize42.0ms

Local error

Found 4 expressions with local error:

3.1b	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (+ (* 1/6 (pow (* eps b) 3)) (* b (+ eps (* (* 1/2 (pow eps 2)) b))))))
5.0b	(- (exp (* a eps)) 1.0)
6.6b	(- (exp (* (+ a b) eps)) 1.0)
8.4b	(* (* 1/2 (pow eps 2)) b)

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-exp-log`
21×	`add-cbrt-cube`
11×	`prod-exp`
9×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`associate-/r/` `add-log-exp`
7×	`cbrt-unprod`
6×	`pow1` `flip3--` `flip--`
5×	`add-cube-cbrt`
4×	`cbrt-undiv` `frac-times` `associate-*r/` `div-exp`
3×	`flip3-+` `associate-r` `flip-+`
2×	`sub-neg` `diff-log` `associate-*l/` `associate-/l/` `distribute-lft-out--` `difference-of-squares`
1×	`pow-to-exp` `frac-2neg` `times-frac` `associate-l` `pow-prod-down` `pow-exp` `clear-num` `associate-/r` `-commutative` `div-inv` `associate-/l*`

Counts

4 → 78

Calls

4 calls:

62.0ms	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (+ (* 1/6 (pow (* eps b) 3)) (* b (+ eps (* (* 1/2 (pow eps 2)) b))))))
13.0ms	(- (exp (* a eps)) 1.0)
21.0ms	(- (exp (* (+ a b) eps)) 1.0)
24.0ms	(* (* 1/2 (pow eps 2)) b)

series2.5s

Counts

4 → 12

Calls

4 calls:

2.3s	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (+ (* 1/6 (pow (* eps b) 3)) (* b (+ eps (* (* 1/2 (pow eps 2)) b))))))
49.0ms	(- (exp (* a eps)) 1.0)
68.0ms	(- (exp (* (+ a b) eps)) 1.0)
39.0ms	(* (* 1/2 (pow eps 2)) b)

simplify2.0s

Counts

90 → 90

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	217	2627
1	691	2560
2	3484	2088
done	5000	2087

prune645.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite31.0ms

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:

30.0ms

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

series14.0ms

Counts

1 → 3

Calls

1 calls:

14.0ms

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

simplify4.1s

Counts

22 → 22

Iterations

Useful iterations: 3 (188.0ms)

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

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes107.0ms

Accuracy

0% (3.1b remaining)

Error of 3.2b against oracle of 0.2b and baseline of 3.2b

bsearch0.0ms

simplify3.0ms

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

5.8s	2627×	body	2560	valid
3.9s	1999×	body	10240	exit
3.8s	3480×	body	1280	valid
751.0ms	1010×	body	640	valid
449.0ms	10001×	pre	80	true
117.0ms	334×	body	320	valid
88.0ms	434×	body	80	valid
26.0ms	117×	body	160	valid