Details

sample95.0ms

Algorithm

intervals

Results

41.0ms	118×	body	1280	valid
18.0ms	82×	body	640	valid
13.0ms	373×	pre	80	true
5.0ms	34×	body	320	valid
4.0ms	121×	body	80	valid
2.0ms	18×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	10
2	10
1	9
0	4

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.2b

localize11.0ms

Local error

Found 1 expressions with local error:

5.8b	(- (exp x) 1)

rewrite16.0ms

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:

16.0ms

(- (exp x) 1)

series23.0ms

Counts

1 → 3

Calls

1 calls:

23.0ms

(- (exp x) 1)

simplify1.2s

Counts

20 → 20

Iterations

Iter	Nodes
done	2010
5	2010
4	1333
3	609
2	233
1	92
0	42

prune200.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 2 expressions with local error:

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

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 43

Calls

2 calls:

62.0ms	(* (* x x) (+ (* x 1/6) 1/2))
11.0ms	(* x 1/6)

series142.0ms

Counts

2 → 6

Calls

2 calls:

111.0ms	(* (* x x) (+ (* x 1/6) 1/2))
31.0ms	(* x 1/6)

simplify1.3s

Counts

49 → 49

Iterations

Iter	Nodes
done	2010
3	2010
2	1000
1	269
0	81

prune393.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.1b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1 (exp x))
0.0b	(/ (+ -1 (exp (* 3 x))) (+ (* (exp x) (exp x)) (+ 1 (exp x))))
0.0b	(* (exp x) (exp x))
5.7b	(+ -1 (exp (* 3 x)))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

35×	`*-un-lft-identity`
25×	`add-sqr-sqrt`
23×	`add-cube-cbrt`
18×	`exp-prod`
12×	`times-frac`
11×	`pow1`
8×	`add-cbrt-cube` `add-log-exp`
6×	`add-exp-log` `distribute-lft-out`
4×	`flip3-+` `pow-prod-down` `pow-sqr` `pow-prod-up` `flip-+` `insert-posit16` `associate-/l*`
3×	`associate-/r` `swap-sqr` `associate-r` `associate-l*`
2×	`+-commutative` `sum-log` `associate-/r/` `associate-/l/`
1×	`pow2` `cbrt-undiv` `clear-num` `frac-2neg` `pow-plus` `div-exp` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 97

Calls

4 calls:

6.0ms	(+ 1 (exp x))
87.0ms	(/ (+ -1 (exp (* 3 x))) (+ (* (exp x) (exp x)) (+ 1 (exp x))))
14.0ms	(* (exp x) (exp x))
6.0ms	(+ -1 (exp (* 3 x)))

series120.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(+ 1 (exp x))
67.0ms	(/ (+ -1 (exp (* 3 x))) (+ (* (exp x) (exp x)) (+ 1 (exp x))))
14.0ms	(* (exp x) (exp x))
21.0ms	(+ -1 (exp (* 3 x)))

simplify1.6s

Counts

109 → 109

Iterations

Iter	Nodes
done	2001
3	2001
2	1584
1	425
0	161

prune568.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* x x) 1/2)
0.0b	(+ (* (* x x) (* x 1/6)) (+ (* (* x x) 1/2) x))
0.1b	(* (* x x) (* x 1/6))
0.3b	(* x 1/6)

rewrite188.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

31.0ms	(* (* x x) 1/2)
94.0ms	(+ (* (* x x) (* x 1/6)) (+ (* (* x x) 1/2) x))
51.0ms	(* (* x x) (* x 1/6))
10.0ms	(* x 1/6)

series149.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (* x x) 1/2)
41.0ms	(+ (* (* x x) (* x 1/6)) (+ (* (* x x) 1/2) x))
48.0ms	(* (* x x) (* x 1/6))
21.0ms	(* x 1/6)

simplify1.4s

Counts

88 → 88

Iterations

Iter	Nodes
done	2003
3	2003
2	1340
1	341
0	113

prune654.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes25.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	14
1	14
0	9

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.1s	3475×	body	1280	valid
553.0ms	2380×	body	640	valid
393.0ms	11912×	pre	80	true
189.0ms	1310×	body	320	valid
138.0ms	4096×	body	80	valid
53.0ms	651×	body	160	valid