Details

sample68.0ms

Algorithm

intervals

Results

29.0ms	117×	body	1280	valid
10.0ms	69×	body	640	valid
6.0ms	390×	pre	80	true
4.0ms	46×	body	320	valid
3.0ms	139×	body	80	valid
1.0ms	19×	body	160	valid

simplify14.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4
1	6	4
2	7	4
done	7	4

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.3b

localize4.0ms

Local error

Found 1 expressions with local error:

5.2b	(- (exp x) 1.0)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 14

Calls

1 calls:

11.0ms

(- (exp x) 1.0)

series19.0ms

Counts

1 → 3

Calls

1 calls:

19.0ms

(- (exp x) 1.0)

simplify1.9s

Counts

17 → 17

Iterations

Useful iterations: 3 (112.0ms)

Iter	Nodes	Cost
0	39	132
1	83	127
2	177	119
3	328	117
4	668	117
5	1877	117
done	5000	117

prune71.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
11×	`add-exp-log` `associate-l`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`add-cbrt-cube` `add-log-exp`
6×	`pow1` `associate-r`
5×	`unswap-sqr`
4×	`unpow-prod-down` `prod-exp`
3×	`flip3-+` `flip-+`
2×	`+-commutative` `distribute-rgt-in` `associate-+l+` `distribute-lft-in` `associate-r/` `sum-log` `-commutative` `cbrt-unprod` `unpow2` `sqr-pow`
1×	`pow-to-exp` `pow-prod-down` `pow-exp`

Counts

4 → 73

Calls

4 calls:

17.0ms	(+ (* (pow x 2) (+ (* 1/6 x) 1/2)) x)
9.0ms	(+ (* 1/6 x) 1/2)
68.0ms	(* (pow x 2) (+ (* 1/6 x) 1/2))
14.0ms	(* 1/6 x)

series219.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(+ (* (pow x 2) (+ (* 1/6 x) 1/2)) x)
66.0ms	(+ (* 1/6 x) 1/2)
87.0ms	(* (pow x 2) (+ (* 1/6 x) 1/2))
19.0ms	(* 1/6 x)

simplify1.5s

Counts

85 → 85

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	119	936
1	329	843
2	1115	774
done	5000	766

prune249.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (pow x 2) (+ (* 1/6 x) 1/2))
0.0b	(pow (+ (* (pow x 2) (+ (* 1/6 x) 1/2)) x) 3)
0.3b	(* 1/6 x)
39.8b	(cbrt (pow (+ (* (pow x 2) (+ (* 1/6 x) 1/2)) x) 3))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
12×	`add-exp-log` `cbrt-prod`
11×	`associate-l`
10×	`unpow-prod-down`
9×	`add-cbrt-cube`
7×	`pow1`
6×	`cube-prod` `associate-r`
5×	`unswap-sqr`
4×	`cube-div` `prod-exp` `add-log-exp` `sqr-pow`
3×	`pow-unpow` `flip3-+` `flip-+`
2×	`cube-mult` `pow-to-exp` `cbrt-div` `unpow3` `associate-r/` `pow-exp` `-commutative` `cbrt-unprod` `unpow2`
1×	`distribute-rgt-in` `pow-pow` `distribute-lft-in` `pow1/3` `pow-prod-down` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 97

Calls

4 calls:

39.0ms	(* (pow x 2) (+ (* 1/6 x) 1/2))
46.0ms	(pow (+ (* (pow x 2) (+ (* 1/6 x) 1/2)) x) 3)
7.0ms	(* 1/6 x)
28.0ms	(cbrt (pow (+ (* (pow x 2) (+ (* 1/6 x) 1/2)) x) 3))

series257.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(* (pow x 2) (+ (* 1/6 x) 1/2))
54.0ms	(pow (+ (* (pow x 2) (+ (* 1/6 x) 1/2)) x) 3)
27.0ms	(* 1/6 x)
42.0ms	(cbrt (pow (+ (* (pow x 2) (+ (* 1/6 x) 1/2)) x) 3))

simplify1.3s

Counts

109 → 109

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	175	1806
1	453	1546
2	1515	1389
done	5000	1381

prune343.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) 1.0)
0.0b	(/ (- (exp (+ x x)) (* 1.0 1.0)) (+ (exp x) 1.0))
5.2b	(- (exp (+ x x)) (* 1.0 1.0))

rewrite244.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
20×	`add-sqr-sqrt` `times-frac`
14×	`add-cube-cbrt`
12×	`difference-of-squares`
7×	`distribute-lft-out` `add-log-exp`
6×	`exp-sum`
5×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
4×	`associate-/r*`
3×	`pow1`
2×	`flip3--` `flip3-+` `associate-/r/` `flip--` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

3 → 72

Calls

3 calls:

18.0ms	(+ (exp x) 1.0)
150.0ms	(/ (- (exp (+ x x)) (* 1.0 1.0)) (+ (exp x) 1.0))
72.0ms	(- (exp (+ x x)) (* 1.0 1.0))

series131.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(+ (exp x) 1.0)
82.0ms	(/ (- (exp (+ x x)) (* 1.0 1.0)) (+ (exp x) 1.0))
36.0ms	(- (exp (+ x x)) (* 1.0 1.0))

simplify2.8s

Counts

81 → 81

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	131	1338
1	319	1293
2	951	1179
3	3152	1035
done	5000	1035

prune220.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes22.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	13	11
done	13	11

end0.0ms

sample2.7s

Algorithm

intervals

Results

927.0ms	3419×	body	1280	valid
690.0ms	11897×	pre	80	true
404.0ms	2485×	body	640	valid
142.0ms	4074×	body	80	valid
124.0ms	1266×	body	320	valid
43.0ms	653×	body	160	valid