Details

sample37.0ms

Algorithm

intervals

Results

11.0ms	65×	body	1280	valid
8.0ms	83×	body	10240	exit
6.0ms	60×	body	640	valid
2.0ms	88×	body	80	valid
2.0ms	27×	body	320	valid
1.0ms	16×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 42.0b

localize4.0ms

Local error

Found 2 expressions with local error:

0.5b	(/ (exp x) (- (exp x) 1.0))
5.2b	(- (exp x) 1.0)

rewrite29.0ms

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:

17.0ms	(/ (exp x) (- (exp x) 1.0))
10.0ms	(- (exp x) 1.0)

series46.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(/ (exp x) (- (exp x) 1.0))
18.0ms	(- (exp x) 1.0)

simplify1.6s

Counts

57 → 57

Iterations

Useful iterations: 4 (568.0ms)

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

prune119.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (pow x 2) (+ (* 1/6 x) 1/2)) x)
0.0b	(/ (exp x) (+ (* (pow x 2) (+ (* 1/6 x) 1/2)) x))
0.1b	(* (pow x 2) (+ (* 1/6 x) 1/2))
0.3b	(* 1/6 x)

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
17×	`add-cube-cbrt` `*-un-lft-identity`
12×	`add-exp-log`
11×	`associate-l`
10×	`add-cbrt-cube`
9×	`times-frac`
6×	`pow1` `associate-r` `add-log-exp`
5×	`unswap-sqr`
4×	`unpow-prod-down` `prod-exp`
3×	`flip3-+` `associate-/r` `flip-+` `associate-/l`
2×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `associate-r/` `associate-/r/` `-commutative` `cbrt-unprod` `unpow2` `sqr-pow`
1×	`cbrt-undiv` `+-commutative` `pow-to-exp` `frac-2neg` `div-exp` `pow-prod-down` `pow-exp` `clear-num` `sum-log` `div-inv`

Counts

4 → 91

Calls

4 calls:

15.0ms	(+ (* (pow x 2) (+ (* 1/6 x) 1/2)) x)
28.0ms	(/ (exp x) (+ (* (pow x 2) (+ (* 1/6 x) 1/2)) x))
29.0ms	(* (pow x 2) (+ (* 1/6 x) 1/2))
7.0ms	(* 1/6 x)

series150.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ (* (pow x 2) (+ (* 1/6 x) 1/2)) x)
39.0ms	(/ (exp x) (+ (* (pow x 2) (+ (* 1/6 x) 1/2)) x))
67.0ms	(* (pow x 2) (+ (* 1/6 x) 1/2))
14.0ms	(* 1/6 x)

simplify949.0ms

Counts

103 → 103

Iterations

Useful iterations: done (946.0ms)

Iter	Nodes	Cost
0	172	1552
1	429	1457
2	1377	1340
done	5000	1334

prune227.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 29

Calls

2 calls:

11.0ms	(+ (* 1/12 x) (/ 1 x))
9.0ms	(* 1/12 x)

series55.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(+ (* 1/12 x) (/ 1 x))
15.0ms	(* 1/12 x)

simplify1.6s

Counts

35 → 35

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	51	269
1	133	247
2	315	225
3	659	225
4	1942	225
done	5000	225

prune58.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (exp x))
0.0b	(/ 1 (- 1 (/ 1.0 (exp x))))
5.2b	(- 1 (/ 1.0 (exp x)))

rewrite57.0ms

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))
32.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
15.0ms	(- 1 (/ 1.0 (exp x)))

series99.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(/ 1.0 (exp x))
50.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
35.0ms	(- 1 (/ 1.0 (exp x)))

simplify3.8s

Counts

106 → 106

Iterations

Useful iterations: 4 (2.6s)

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

prune130.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes14.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	14
1	15	14
done	15	14

end0.0ms

sample1.1s

Algorithm

intervals

Results

367.0ms	2241×	body	1280	valid
258.0ms	2552×	body	10240	exit
165.0ms	1643×	body	640	valid
56.0ms	834×	body	320	valid
50.0ms	2880×	body	80	valid
18.0ms	402×	body	160	valid