Details

sample89.0ms

Algorithm

intervals

Results

43.0ms	91×	body	1280	valid
11.0ms	36×	body	640	valid
11.0ms	167×	body	80	valid
5.0ms	25×	body	320	valid
3.0ms	16×	body	160	valid

simplify4.5s

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.3b

localize8.0ms

Local error

Found 2 expressions with local error:

4.9b	(- (exp (* a x)) 1)
0.0b	(exp (* a x))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 28

Calls

2 calls:

Slowest

19.0ms	(- (exp (* a x)) 1)
4.0ms	(exp (* a x))

series60.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

46.0ms	(- (exp (* a x)) 1)
14.0ms	(exp (* a x))

simplify830.0ms

Counts: 34 → 34

prune277.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

11.3b	(+ (* 1/2 (* (* a x) (* a x))) (* (* (* (* a x) (* a x)) (* a x)) 1/6))
0.2b	(* (* a x) (* a x))
0.2b	(* (* a x) (* a x))
0.1b	(* (* (* (* a x) (* a x)) (* a x)) 1/6)

rewrite553.0ms

Algorithm

rewrite-expression-head

Rules

135×	`pow1`
81×	`add-cbrt-cube` `add-exp-log`
76×	`pow-prod-down`
58×	`prod-exp` `cbrt-unprod`
8×	`pow-sqr` `pow-prod-up`
6×	`add-log-exp`
5×	`add-sqr-sqrt` `-un-lft-identity` `associate-r*` `add-cube-cbrt`
4×	`pow-plus` `insert-posit16`
3×	`associate-l` `*-commutative`
2×	`pow2` `swap-sqr`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+`

Counts

4 → 128

Calls

4 calls:

Slowest

401.0ms	(* (* (* (* a x) (* a x)) (* a x)) 1/6)
71.0ms	(+ (* 1/2 (* (* a x) (* a x))) (* (* (* (* a x) (* a x)) (* a x)) 1/6))
47.0ms	(* (* a x) (* a x))
32.0ms	(* (* a x) (* a x))

series378.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

171.0ms	(+ (* 1/2 (* (* a x) (* a x))) (* (* (* (* a x) (* a x)) (* a x)) 1/6))
105.0ms	(* (* (* (* a x) (* a x)) (* a x)) 1/6)
59.0ms	(* (* a x) (* a x))
42.0ms	(* (* a x) (* a x))

simplify1.1s

Counts: 140 → 140

prune1.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

4.9b	(- (exp (* a x)) 1)
0.0b	(exp (* a x))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 28

Calls

2 calls:

Slowest

15.0ms	(- (exp (* a x)) 1)
8.0ms	(exp (* a x))

series87.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

65.0ms	(- (exp (* a x)) 1)
22.0ms	(exp (* a x))

simplify824.0ms

Counts: 34 → 34

prune321.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes258.0ms

Accuracy

98.6% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 21.9b

bsearch38.0ms

end0.0ms

sample2.3s

Algorithm

intervals

Results

1000.0ms	2672×	body	1280	valid
468.0ms	1295×	body	640	valid
424.0ms	5591×	body	80	valid
132.0ms	729×	body	320	valid
49.0ms	406×	body	160	valid