Details

sample84.0ms

Algorithm

intervals

Results

28.0ms	59×	body	640	valid
22.0ms	69×	body	1280	valid
14.0ms	68×	body	10240	exit
3.0ms	93×	body	80	valid
2.0ms	20×	body	320	valid
1.0ms	15×	body	160	valid

simplify9.0ms

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: 41.3b

localize10.0ms

Local error

Found 2 expressions with local error:

0.7b	(/ (exp x) (- (exp x) 1.0))
4.8b	(- (exp x) 1.0)

rewrite38.0ms

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:

23.0ms	(/ (exp x) (- (exp x) 1.0))
12.0ms	(- (exp x) 1.0)

series64.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(/ (exp x) (- (exp x) 1.0))
26.0ms	(- (exp x) 1.0)

simplify2.7s

Counts

57 → 57

Iterations

Useful iterations: 4 (892.0ms)

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

prune187.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

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)

rewrite149.0ms

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:

16.0ms	(+ (* (pow x 2) (+ (* 1/6 x) 1/2)) x)
52.0ms	(/ (exp x) (+ (* (pow x 2) (+ (* 1/6 x) 1/2)) x))
64.0ms	(* (pow x 2) (+ (* 1/6 x) 1/2))
15.0ms	(* 1/6 x)

series208.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(+ (* (pow x 2) (+ (* 1/6 x) 1/2)) x)
46.0ms	(/ (exp x) (+ (* (pow x 2) (+ (* 1/6 x) 1/2)) x))
98.0ms	(* (pow x 2) (+ (* 1/6 x) 1/2))
24.0ms	(* 1/6 x)

simplify1.5s

Counts

103 → 103

Iterations

Useful iterations: done (1.5s)

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

prune393.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

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)

rewrite103.0ms

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:

62.0ms	(+ 1/2 (+ (* 1/12 x) (/ 1 x)))
24.0ms	(+ (* 1/12 x) (/ 1 x))
14.0ms	(* 1/12 x)

series88.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(+ 1/2 (+ (* 1/12 x) (/ 1 x)))
48.0ms	(+ (* 1/12 x) (/ 1 x))
23.0ms	(* 1/12 x)

simplify1.5s

Counts

52 → 52

Iterations

Useful iterations: 3 (573.0ms)

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

prune161.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (exp x))
0.0b	(/ 1 (- 1 (/ 1.0 (exp x))))
4.8b	(- 1 (/ 1.0 (exp x)))

rewrite66.0ms

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:

10.0ms	(/ 1.0 (exp x))
35.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
17.0ms	(- 1 (/ 1.0 (exp x)))

series191.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(/ 1.0 (exp x))
102.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
62.0ms	(- 1 (/ 1.0 (exp x)))

simplify6.5s

Counts

106 → 106

Iterations

Useful iterations: 4 (4.3s)

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

prune205.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes63.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample2.6s

Algorithm

intervals

Results

786.0ms	2283×	body	1280	valid
718.0ms	2521×	body	10240	exit
481.0ms	1614×	body	640	valid
110.0ms	2874×	body	80	valid
106.0ms	798×	body	320	valid
86.0ms	432×	body	160	valid