Details

sample79.0ms

Algorithm

intervals

Results

21.0ms	74×	body	1280	valid
18.0ms	91×	body	10240	exit
15.0ms	59×	body	640	valid
3.0ms	26×	body	320	valid
3.0ms	81×	body	80	valid
1.0ms	16×	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: 43.4b

localize7.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ (exp x) (- (exp x) 1.0))
4.1b	(- (exp x) 1.0)

rewrite30.0ms

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:

18.0ms	(/ (exp x) (- (exp x) 1.0))
10.0ms	(- (exp x) 1.0)

series83.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(/ (exp x) (- (exp x) 1.0))
40.0ms	(- (exp x) 1.0)

simplify1.3s

Counts

57 → 57

Iterations

Useful iterations: 3 (555.0ms)

Iter	Nodes	Cost
0	91	640
1	191	614
2	648	581
3	3086	577
done	5000	577

prune207.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 32

Calls

2 calls:

31.0ms	(+ 1/2 (+ (* 1/12 x) (/ 1 x)))
7.0ms	(* 1/12 x)

series41.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(+ 1/2 (+ (* 1/12 x) (/ 1 x)))
20.0ms	(* 1/12 x)

simplify1.2s

Counts

38 → 38

Iterations

Useful iterations: 2 (110.0ms)

Iter	Nodes	Cost
0	59	337
1	156	311
2	494	287
3	2185	287
done	5000	287

prune199.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (exp x))
0.0b	(/ 1 (- 1 (/ 1.0 (exp x))))
4.1b	(- 1 (/ 1.0 (exp x)))

rewrite68.0ms

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

series162.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(/ 1.0 (exp x))
79.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
57.0ms	(- 1 (/ 1.0 (exp x)))

simplify964.0ms

Counts

106 → 106

Iterations

Useful iterations: done (959.0ms)

Iter	Nodes	Cost
0	162	1303
1	345	1155
2	1262	1101
done	5001	1096

prune377.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 1/12 x)
0.3b	(* 1/12 x)
0.3b	(* 1/12 x)
39.5b	(/ (+ 1/8 (pow (+ (* 1/12 x) (/ 1 x)) 3)) (+ (* (+ (* 1/12 x) (/ 1 x)) (- (+ (* 1/12 x) (/ 1 x)) 1/2)) 1/4))

rewrite402.0ms

Algorithm

rewrite-expression-head

Rules

27×	`*-un-lft-identity`
25×	`add-sqr-sqrt`
19×	`add-cube-cbrt`
12×	`add-exp-log` `times-frac` `add-cbrt-cube`
10×	`pow1`
9×	`associate-r` `associate-l`
4×	`distribute-lft-out` `associate-/l*` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `associate-/r` `-commutative` `cbrt-unprod` `unswap-sqr`
2×	`flip3-+` `associate-/r/` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 89

Calls

4 calls:

7.0ms	(* 1/12 x)
8.0ms	(* 1/12 x)
7.0ms	(* 1/12 x)
378.0ms	(/ (+ 1/8 (pow (+ (* 1/12 x) (/ 1 x)) 3)) (+ (* (+ (* 1/12 x) (/ 1 x)) (- (+ (* 1/12 x) (/ 1 x)) 1/2)) 1/4))

series159.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* 1/12 x)
17.0ms	(* 1/12 x)
16.0ms	(* 1/12 x)
103.0ms	(/ (+ 1/8 (pow (+ (* 1/12 x) (/ 1 x)) 3)) (+ (* (+ (* 1/12 x) (/ 1 x)) (- (+ (* 1/12 x) (/ 1 x)) 1/2)) 1/4))

simplify768.0ms

Counts

101 → 101

Iterations

Useful iterations: 2 (158.0ms)

Iter	Nodes	Cost
0	104	2027
1	269	1973
2	1020	1830
done	5001	1830

prune476.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes100.0ms

Accuracy

97.2% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 21.2b

bsearch1.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	22
1	21	22
done	21	22

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.2s	2549×	body	10240	exit
692.0ms	2281×	body	1280	valid
343.0ms	1657×	body	640	valid
137.0ms	2831×	body	80	valid
105.0ms	821×	body	320	valid
33.0ms	410×	body	160	valid