Details

sample82.0ms

Algorithm

intervals

Results

30.0ms	101×	body	1280	valid
16.0ms	81×	body	640	valid
12.0ms	389×	pre	80	true
7.0ms	48×	body	320	valid
5.0ms	139×	body	80	valid
2.0ms	20×	body	160	valid

simplify11.0ms

Counts

1 → 1

Iterations

Iter	Nodes
4	22
3	22
2	21
1	17
0	4

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.0b

localize6.0ms

Local error

Found 1 expressions with local error:

6.2b	(- (exp x) 1)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
4×	`*-un-lft-identity`
3×	`add-log-exp`
2×	`difference-of-squares`
1×	`pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `difference-of-sqr-1` `add-exp-log` `add-cube-cbrt` `insert-posit16` `flip--` `distribute-lft-out--`

Counts

1 → 17

Calls

1 calls:

8.0ms

(- (exp x) 1)

series15.0ms

Counts

1 → 3

Calls

1 calls:

15.0ms

(- (exp x) 1)

simplify2.6s

Counts

20 → 20

Iterations

Iter	Nodes
6	4971
5	1857
4	925
3	495
2	268
1	159
0	42

prune199.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (* x x) (+ 1/2 (* x 1/6))))
0.0b	(* (* x x) (+ 1/2 (* x 1/6)))
0.4b	(* x 1/6)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`add-sqr-sqrt`
6×	`-un-lft-identity` `associate-r*` `add-cube-cbrt`
5×	`add-log-exp`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`insert-posit16`
2×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `flip3-+` `associate-r/` `-commutative` `flip-+` `unswap-sqr`
1×	`+-commutative` `sum-log`

Counts

3 → 57

Calls

3 calls:

6.0ms	(+ x (* (* x x) (+ 1/2 (* x 1/6))))
25.0ms	(* (* x x) (+ 1/2 (* x 1/6)))
11.0ms	(* x 1/6)

series161.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(+ x (* (* x x) (+ 1/2 (* x 1/6))))
96.0ms	(* (* x x) (+ 1/2 (* x 1/6)))
17.0ms	(* x 1/6)

simplify3.5s

Counts

66 → 66

Iterations

Iter	Nodes
3	7667
2	1450
1	469
0	102

prune428.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (+ x (* (* x x) (+ 1/2 (* x 1/6))))) (cbrt (+ x (* (* x x) (+ 1/2 (* x 1/6))))))
0.6b	(cbrt (+ x (* (* x x) (+ 1/2 (* x 1/6)))))
0.6b	(cbrt (+ x (* (* x x) (+ 1/2 (* x 1/6)))))
0.6b	(cbrt (+ x (* (* x x) (+ 1/2 (* x 1/6)))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`frac-times` `add-cbrt-cube` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 91

Calls

4 calls:

22.0ms	(* (cbrt (+ x (* (* x x) (+ 1/2 (* x 1/6))))) (cbrt (+ x (* (* x x) (+ 1/2 (* x 1/6))))))
2.0ms	(cbrt (+ x (* (* x x) (+ 1/2 (* x 1/6)))))
2.0ms	(cbrt (+ x (* (* x x) (+ 1/2 (* x 1/6)))))
2.0ms	(cbrt (+ x (* (* x x) (+ 1/2 (* x 1/6)))))

series364.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(* (cbrt (+ x (* (* x x) (+ 1/2 (* x 1/6))))) (cbrt (+ x (* (* x x) (+ 1/2 (* x 1/6))))))
86.0ms	(cbrt (+ x (* (* x x) (+ 1/2 (* x 1/6)))))
86.0ms	(cbrt (+ x (* (* x x) (+ 1/2 (* x 1/6)))))
101.0ms	(cbrt (+ x (* (* x x) (+ 1/2 (* x 1/6)))))

simplify2.1s

Counts

103 → 103

Iterations

Iter	Nodes
3	4673
2	1356
1	636
0	151

prune908.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize97.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt (+ x (* (* x x) (+ 1/2 (* x 1/6))))))
0.6b	(cbrt (cbrt (+ x (* (* x x) (+ 1/2 (* x 1/6))))))
0.6b	(cbrt (cbrt (+ x (* (* x x) (+ 1/2 (* x 1/6))))))
0.6b	(cbrt (cbrt (+ x (* (* x x) (+ 1/2 (* x 1/6))))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
16×	`cbrt-div`
12×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `flip3-+` `add-cbrt-cube` `pow1/3` `add-exp-log` `flip-+` `insert-posit16` `add-log-exp`

Counts

4 → 68

Calls

4 calls:

3.0ms	(cbrt (cbrt (+ x (* (* x x) (+ 1/2 (* x 1/6))))))
5.0ms	(cbrt (cbrt (+ x (* (* x x) (+ 1/2 (* x 1/6))))))
5.0ms	(cbrt (cbrt (+ x (* (* x x) (+ 1/2 (* x 1/6))))))
5.0ms	(cbrt (cbrt (+ x (* (* x x) (+ 1/2 (* x 1/6))))))

series324.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(cbrt (cbrt (+ x (* (* x x) (+ 1/2 (* x 1/6))))))
73.0ms	(cbrt (cbrt (+ x (* (* x x) (+ 1/2 (* x 1/6))))))
84.0ms	(cbrt (cbrt (+ x (* (* x x) (+ 1/2 (* x 1/6))))))
82.0ms	(cbrt (cbrt (+ x (* (* x x) (+ 1/2 (* x 1/6))))))

simplify1.3s

Counts

80 → 80

Iterations

Iter	Nodes
3	3441
2	870
1	389
0	94

prune1.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes77.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	12
1	12
0	8

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.0s	3419×	body	1280	valid
944.0ms	2514×	body	640	valid
335.0ms	11931×	pre	80	true
157.0ms	4117×	body	80	valid
146.0ms	1264×	body	320	valid
45.0ms	617×	body	160	valid