Details

sample38.0ms

Algorithm

intervals

Results

11.0ms	68×	body	1280	valid
8.0ms	76×	body	10240	exit
5.0ms	47×	body	640	valid
2.0ms	102×	body	80	valid
2.0ms	29×	body	320	valid
0.0ms	10×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	4
1	8	4
2	8	4
done	8	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.8b

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (exp x) (- (exp x) 1.0))
2.6b	(- (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)

series48.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(/ (exp x) (- (exp x) 1.0))
15.0ms	(- (exp x) 1.0)

simplify68.0ms

Counts

57 → 57

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	180	378
1	542	357
2	2210	354
3	5001	354
done	5001	354

prune118.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 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)

rewrite53.0ms

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:

30.0ms	(+ 1/2 (+ (* 1/12 x) (/ 1 x)))
15.0ms	(+ (* 1/12 x) (/ 1 x))
7.0ms	(* 1/12 x)

series76.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(+ 1/2 (+ (* 1/12 x) (/ 1 x)))
46.0ms	(+ (* 1/12 x) (/ 1 x))
15.0ms	(* 1/12 x)

simplify106.0ms

Counts

52 → 52

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	200	216
1	705	205
2	3820	204
3	5002	204
done	5002	204

prune78.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp x) 3)
0.0b	(* (exp x) (exp x))
0.0b	(* (/ (exp x) (- (pow (exp x) 3) (pow 1.0 3))) (+ (* (exp x) (exp x)) (+ (* 1.0 1.0) (* (exp x) 1.0))))
2.6b	(- (pow (exp x) 3) (pow 1.0 3))

rewrite271.0ms

Algorithm

rewrite-expression-head

Rules

151×	`add-sqr-sqrt`
88×	`*-un-lft-identity`
84×	`associate-l`
76×	`times-frac`
64×	`difference-of-squares`
51×	`unpow-prod-down` `cube-prod`
48×	`add-cube-cbrt`
33×	`sqr-pow`
21×	`exp-prod`
20×	`distribute-lft-out--`
14×	`pow1`
12×	`add-cbrt-cube`
8×	`add-exp-log`
6×	`associate-r` `add-log-exp`
5×	`pow-prod-down`
4×	`difference-cubes` `pow-pow` `pow-sqr` `pow-prod-up`
3×	`pow-unpow` `swap-sqr` `prod-exp` `cbrt-unprod` `unswap-sqr`
2×	`frac-times` `flip3--` `flip3-+` `associate-r/` `associate-/r/` `-commutative` `flip--` `flip-+`
1×	`cbrt-undiv` `pow2` `distribute-rgt-in` `cube-mult` `pow-to-exp` `sub-neg` `distribute-lft-in` `pow-plus` `diff-log` `unpow3` `div-exp` `associate-*l/` `pow-exp` `div-inv` `rem-cube-cbrt`

Counts

4 → 200

Calls

4 calls:

4.0ms	(pow (exp x) 3)
17.0ms	(* (exp x) (exp x))
207.0ms	(* (/ (exp x) (- (pow (exp x) 3) (pow 1.0 3))) (+ (* (exp x) (exp x)) (+ (* 1.0 1.0) (* (exp x) 1.0))))
31.0ms	(- (pow (exp x) 3) (pow 1.0 3))

series200.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(pow (exp x) 3)
14.0ms	(* (exp x) (exp x))
124.0ms	(* (/ (exp x) (- (pow (exp x) 3) (pow 1.0 3))) (+ (* (exp x) (exp x)) (+ (* 1.0 1.0) (* (exp x) 1.0))))
37.0ms	(- (pow (exp x) 3) (pow 1.0 3))

simplify44.0ms

Counts

212 → 212

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	954	2226
1	5002	2096
done	5002	2096

prune525.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes28.0ms

Accuracy

99% (0.2b remaining)

Error of 0.7b against oracle of 0.5b and baseline of 21.5b

bsearch1.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	20
1	33	20
done	33	20

end0.0ms

sample1.1s

Algorithm

intervals

Results

369.0ms	2201×	body	1280	valid
254.0ms	2484×	body	10240	exit
178.0ms	1708×	body	640	valid
61.0ms	811×	body	320	valid
57.0ms	2888×	body	80	valid
18.0ms	392×	body	160	valid