Details

sample65.0ms

Algorithm

intervals

Results

20.0ms	75×	body	1280	valid
17.0ms	82×	body	10240	exit
10.0ms	50×	body	640	valid
3.0ms	99×	body	80	valid
3.0ms	23×	body	320	valid
1.0ms	9×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	7	7
2	8	7
done	8	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 39.5b

localize8.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ (exp x) (- (exp x) 1.0))
3.0b	(- (exp x) 1.0)

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 51

Calls

2 calls:

27.0ms	(/ (exp x) (- (exp x) 1.0))
17.0ms	(- (exp x) 1.0)

series73.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(/ (exp x) (- (exp x) 1.0))
37.0ms	(- (exp x) 1.0)

simplify2.3s

Counts

57 → 57

Iterations

Useful iterations: 4 (772.0ms)

Iter	Nodes	Cost
0	91	640
1	181	614
2	410	579
3	804	577
4	2199	576
done	5000	576

prune169.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1/2 (+ (* 1/12 x) (/ 1 x)))
0.0b	(+ (* 1/12 x) (/ 1 x))
0.3b	(* 1/12 x)

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
4×	`sum-log`
3×	`associate-r` `associate-l`
2×	`+-commutative` `flip3-+` `flip-+`
1×	`associate-+r+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

3 → 43

Calls

3 calls:

65.0ms	(+ 1/2 (+ (* 1/12 x) (/ 1 x)))
25.0ms	(+ (* 1/12 x) (/ 1 x))
7.0ms	(* 1/12 x)

series117.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+ 1/2 (+ (* 1/12 x) (/ 1 x)))
68.0ms	(+ (* 1/12 x) (/ 1 x))
15.0ms	(* 1/12 x)

simplify1.6s

Counts

52 → 52

Iterations

Useful iterations: 3 (551.0ms)

Iter	Nodes	Cost
0	73	503
1	204	450
2	573	424
3	1754	422
done	5000	422

prune507.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (exp x))
0.0b	(/ 1 (- 1 (/ 1.0 (exp x))))
3.0b	(- 1 (/ 1.0 (exp x)))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-sqr-sqrt`
44×	`*-un-lft-identity`
43×	`times-frac`
24×	`add-cube-cbrt`
20×	`difference-of-squares`
11×	`associate-/r*`
8×	`add-exp-log`
7×	`add-cbrt-cube`
6×	`associate-/l*`
5×	`distribute-lft-out--` `add-log-exp`
4×	`pow1`
3×	`div-exp`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `clear-num` `associate-/r/` `flip--` `div-inv`
1×	`sub-neg` `rec-exp` `pow-flip` `diff-log` `1-exp` `inv-pow`

Counts

3 → 97

Calls

3 calls:

6.0ms	(/ 1.0 (exp x))
60.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
31.0ms	(- 1 (/ 1.0 (exp x)))

series140.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(/ 1.0 (exp x))
72.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
42.0ms	(- 1 (/ 1.0 (exp x)))

simplify5.7s

Counts

106 → 106

Iterations

Useful iterations: 4 (4.0s)

Iter	Nodes	Cost
0	162	1303
1	310	1155
2	580	1099
3	1282	1094
4	4161	1092
done	5001	1092

prune252.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.3b	(/ (exp x) (log (exp (- (exp x) 1.0))))
3.0b	(- (exp x) 1.0)
3.0b	(log (exp (- (exp x) 1.0)))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt` `*-un-lft-identity`
30×	`log-pow`
27×	`times-frac`
25×	`exp-prod`
23×	`add-cube-cbrt`
9×	`associate-/r*`
8×	`pow1`
6×	`distribute-lft-out--` `difference-of-squares`
5×	`log-prod` `add-cbrt-cube` `add-log-exp`
4×	`add-exp-log`
3×	`associate-/l*`
2×	`sub-neg` `exp-sum`
1×	`cbrt-undiv` `log-div` `flip3--` `frac-2neg` `exp-diff` `diff-log` `div-exp` `rem-log-exp` `clear-num` `flip--` `div-inv`

Counts

3 → 85

Calls

3 calls:

69.0ms	(/ (exp x) (log (exp (- (exp x) 1.0))))
10.0ms	(- (exp x) 1.0)
32.0ms	(log (exp (- (exp x) 1.0)))

series106.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(/ (exp x) (log (exp (- (exp x) 1.0))))
26.0ms	(- (exp x) 1.0)
27.0ms	(log (exp (- (exp x) 1.0)))

simplify1.8s

Counts

94 → 94

Iterations

Useful iterations: 4 (855.0ms)

Iter	Nodes	Cost
0	137	1170
1	227	972
2	462	922
3	857	916
4	1993	915
done	5000	915

prune235.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes81.0ms

Accuracy

96.9% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 21.4b

bsearch1.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	23
1	22	23
done	22	23

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.1s	2545×	body	10240	exit
800.0ms	2331×	body	1280	valid
341.0ms	1597×	body	640	valid
139.0ms	2863×	body	80	valid
100.0ms	806×	body	320	valid
32.0ms	403×	body	160	valid