Details

sample78.0ms

Algorithm

intervals

Results

26.0ms	91×	body	1280	valid
21.0ms	85×	body	640	valid
10.0ms	366×	pre	80	true
6.0ms	50×	body	320	valid
4.0ms	121×	body	80	valid
2.0ms	19×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	8
2	8
1	7
0	4

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.8b

localize9.0ms

Local error

Found 1 expressions with local error:

6.4b	(- (exp x) 1)

rewrite11.0ms

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:

11.0ms

(- (exp x) 1)

series22.0ms

Counts

1 → 3

Calls

1 calls:

22.0ms

(- (exp x) 1)

simplify1.2s

Counts

20 → 20

Iterations

Iter	Nodes
5	2129
4	986
3	409
2	182
1	86
0	42

prune144.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 2 expressions with local error:

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

rewrite34.0ms

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:

23.0ms	(* (* x x) (+ 1/2 (* x 1/6)))
10.0ms	(* x 1/6)

series98.0ms

Counts

2 → 6

Calls

2 calls:

73.0ms	(* (* x x) (+ 1/2 (* x 1/6)))
25.0ms	(* x 1/6)

simplify1.8s

Counts

49 → 49

Iterations

Iter	Nodes
3	3789
2	790
1	238
0	81

prune247.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (exp x) 1) (exp x))
0.0b	(/ (+ (exp (* x 3)) -1) (+ 1 (* (+ (exp x) 1) (exp x))))
0.0b	(exp (* x 3))
6.5b	(+ (exp (* x 3)) -1)

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
16×	`add-cube-cbrt`
15×	`times-frac`
8×	`add-cbrt-cube` `add-log-exp`
7×	`add-exp-log`
6×	`pow1` `distribute-lft-out`
5×	`difference-of-sqr--1` `associate-/l*`
4×	`flip3-+` `associate-l` `flip-+` `insert-posit16`
3×	`associate-/r` `associate-r*`
2×	`associate-*l/` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `exp-lft-cube` `exp-prod` `clear-num` `sum-log` `frac-2neg` `exp-to-pow` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr` `rem-exp-log`

Counts

4 → 88

Calls

4 calls:

37.0ms	(* (+ (exp x) 1) (exp x))
32.0ms	(/ (+ (exp (* x 3)) -1) (+ 1 (* (+ (exp x) 1) (exp x))))
8.0ms	(exp (* x 3))
19.0ms	(+ (exp (* x 3)) -1)

series133.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (+ (exp x) 1) (exp x))
76.0ms	(/ (+ (exp (* x 3)) -1) (+ 1 (* (+ (exp x) 1) (exp x))))
11.0ms	(exp (* x 3))
23.0ms	(+ (exp (* x 3)) -1)

simplify3.8s

Counts

100 → 100

Iterations

Iter	Nodes
3	3208
2	1165
1	383
0	155

prune558.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize53.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ (+ (exp (* 3 (* 3 x))) -1) (- (* (exp (* 3 x)) (exp (* 3 x))) (- -1 (exp (* 3 x))))) (+ 1 (* (+ (exp x) 1) (exp x))))
0.0b	(exp (* 3 (* 3 x)))
0.2b	(* 3 (* 3 x))
6.4b	(+ (exp (* 3 (* 3 x))) -1)

rewrite258.0ms

Algorithm

rewrite-expression-head

Rules

158×	`times-frac`
109×	`add-sqr-sqrt`
106×	`*-un-lft-identity`
72×	`add-cube-cbrt`
26×	`associate-/l*`
20×	`difference-of-squares`
17×	`difference-of-sqr--1` `distribute-lft-out`
14×	`add-cbrt-cube` `add-exp-log`
10×	`associate-/r/`
9×	`pow1`
8×	`add-log-exp`
5×	`div-inv`
4×	`flip3--` `insert-posit16` `flip--`
3×	`cbrt-undiv` `associate-/r` `div-exp` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3-+` `flip-+`
1×	`+-commutative` `exp-prod` `clear-num` `sum-log` `frac-2neg` `exp-to-pow` `associate-r` `*-commutative` `rem-exp-log` `associate-/l/`

Counts

4 → 169

Calls

4 calls:

195.0ms	(/ (/ (+ (exp (* 3 (* 3 x))) -1) (- (* (exp (* 3 x)) (exp (* 3 x))) (- -1 (exp (* 3 x))))) (+ 1 (* (+ (exp x) 1) (exp x))))
20.0ms	(exp (* 3 (* 3 x)))
22.0ms	(* 3 (* 3 x))
15.0ms	(+ (exp (* 3 (* 3 x))) -1)

series197.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(/ (/ (+ (exp (* 3 (* 3 x))) -1) (- (* (exp (* 3 x)) (exp (* 3 x))) (- -1 (exp (* 3 x))))) (+ 1 (* (+ (exp x) 1) (exp x))))
11.0ms	(exp (* 3 (* 3 x)))
27.0ms	(* 3 (* 3 x))
31.0ms	(+ (exp (* 3 (* 3 x))) -1)

simplify1.2s

Counts

181 → 181

Iterations

Iter	Nodes
2	2544
1	838
0	340

prune1.5s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes91.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	12
1	12
0	8

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.0s	3397×	body	1280	valid
950.0ms	2503×	body	640	valid
405.0ms	11968×	pre	80	true
203.0ms	1262×	body	320	valid
127.0ms	4173×	body	80	valid
47.0ms	633×	body	160	valid