Details

sample58.0ms

Algorithm

intervals

Results

14.0ms	63×	body	1280	valid
13.0ms	61×	body	640	valid
12.0ms	74×	body	10240	exit
3.0ms	29×	body	320	valid
3.0ms	93×	body	80	valid
1.0ms	10×	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: 40.8b

localize8.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ (exp x) (- (exp x) 1.0))
3.6b	(- (exp x) 1.0)

rewrite42.0ms

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:

21.0ms	(/ (exp x) (- (exp x) 1.0))
18.0ms	(- (exp x) 1.0)

series78.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(/ (exp x) (- (exp x) 1.0))
42.0ms	(- (exp x) 1.0)

simplify1.8s

Counts

57 → 57

Iterations

Useful iterations: 3 (768.0ms)

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

prune175.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.4b	(* 1/12 x)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 18

Calls

1 calls:

8.0ms

(* 1/12 x)

series20.0ms

Counts

1 → 3

Calls

1 calls:

20.0ms

(* 1/12 x)

simplify2.0s

Counts

21 → 21

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	30	103
1	65	94
2	159	88
3	489	88
4	1214	88
5	2368	88
done	5000	88

prune46.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- 1 (/ 1.0 (exp x))))
0.0b	(/ 1.0 (exp x))
3.6b	(- 1 (/ 1.0 (exp x)))

rewrite78.0ms

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:

40.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
13.0ms	(/ 1.0 (exp x))
21.0ms	(- 1 (/ 1.0 (exp x)))

series148.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
26.0ms	(/ 1.0 (exp x))
54.0ms	(- 1 (/ 1.0 (exp x)))

simplify980.0ms

Counts

106 → 106

Iterations

Useful iterations: done (975.0ms)

Iter	Nodes	Cost
0	162	1303
1	345	1155
2	1159	1101
done	5001	1094

prune243.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1 (/ 1.0 (exp x)))
0.0b	(/ 1.0 (/ (exp (+ x x)) 1.0))
0.0b	(/ 1.0 (exp x))
3.5b	(- 1 (/ 1.0 (/ (exp (+ x x)) 1.0)))

rewrite157.0ms

Algorithm

rewrite-expression-head

Rules

115×	`times-frac`
81×	`add-sqr-sqrt`
69×	`*-un-lft-identity`
61×	`add-cube-cbrt`
19×	`associate-/r*`
14×	`exp-sum`
11×	`add-cbrt-cube`
9×	`add-exp-log`
8×	`add-log-exp` `difference-of-squares`
6×	`div-inv` `associate-/l*`
4×	`pow1` `cbrt-undiv` `div-exp`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `sub-neg` `flip3--` `flip3-+` `diff-log` `sum-log` `associate-/r/` `flip--` `flip-+` `distribute-lft-out` `distribute-lft-out--`

Counts

4 → 142

Calls

4 calls:

13.0ms	(+ 1 (/ 1.0 (exp x)))
49.0ms	(/ 1.0 (/ (exp (+ x x)) 1.0))
13.0ms	(/ 1.0 (exp x))
75.0ms	(- 1 (/ 1.0 (/ (exp (+ x x)) 1.0)))

series155.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(+ 1 (/ 1.0 (exp x)))
23.0ms	(/ 1.0 (/ (exp (+ x x)) 1.0))
25.0ms	(/ 1.0 (exp x))
66.0ms	(- 1 (/ 1.0 (/ (exp (+ x x)) 1.0)))

simplify576.0ms

Counts

154 → 154

Iterations

Useful iterations: done (569.0ms)

Iter	Nodes	Cost
0	279	2257
1	755	2123
done	5000	1978

prune636.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes71.0ms

Accuracy

96% (0.8b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 21.3b

bsearch1.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.2s	2625×	body	10240	exit
684.0ms	2192×	body	1280	valid
386.0ms	1739×	body	640	valid
151.0ms	2848×	body	80	valid
99.0ms	812×	body	320	valid
32.0ms	409×	body	160	valid