Details

sample82.0ms

Algorithm

intervals

Results

28.0ms	97×	body	1280	valid
14.0ms	71×	body	640	valid
13.0ms	418×	pre	80	true
7.0ms	54×	body	320	valid
6.0ms	170×	body	80	valid
2.0ms	26×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	10
2	10
1	9
0	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.1b

localize5.0ms

Local error

Found 1 expressions with local error:

8.6b	(- (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)

series26.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

(- (exp x) 1)

simplify783.0ms

Counts

20 → 20

Iterations

Iter	Nodes
done	2000
4	1333
3	609
2	233
1	92
0	42

prune56.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite42.0ms

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:

32.0ms	(* (* x x) (+ (* x 1/6) 1/2))
10.0ms	(* x 1/6)

series123.0ms

Counts

2 → 6

Calls

2 calls:

105.0ms	(* (* x x) (+ (* x 1/6) 1/2))
18.0ms	(* x 1/6)

simplify552.0ms

Counts

49 → 49

Iterations

Iter	Nodes
done	2004
2	1000
1	269
0	81

prune206.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* 3 x))
0.0b	(* (exp x) (exp x))
0.0b	(/ (+ -1 (exp (* 3 x))) (+ (* (exp x) (exp x)) (+ 1 (exp x))))
8.9b	(+ -1 (exp (* 3 x)))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 95

Calls

4 calls:

4.0ms	(exp (* 3 x))
13.0ms	(* (exp x) (exp x))
65.0ms	(/ (+ -1 (exp (* 3 x))) (+ (* (exp x) (exp x)) (+ 1 (exp x))))
11.0ms	(+ -1 (exp (* 3 x)))

series140.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(exp (* 3 x))
17.0ms	(* (exp x) (exp x))
94.0ms	(/ (+ -1 (exp (* 3 x))) (+ (* (exp x) (exp x)) (+ 1 (exp x))))
22.0ms	(+ -1 (exp (* 3 x)))

simplify870.0ms

Counts

107 → 107

Iterations

Iter	Nodes
done	2002
2	1460
1	384
0	151

prune383.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp x))
0.0b	(+ (sqrt (exp x)) 1)
0.0b	(* (+ (sqrt (exp x)) 1) (- (sqrt (exp x)) 1))
8.3b	(- (sqrt (exp x)) 1)

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
13×	`sqrt-prod`
11×	`associate-r`
8×	`add-cube-cbrt` `add-log-exp` `difference-of-squares`
7×	`pow1`
6×	`add-cbrt-cube` `add-exp-log`
5×	`associate-l`
4×	`frac-times` `sqrt-pow1` `flip3-+` `flip3--` `difference-of-sqr-1` `flip-+` `insert-posit16` `flip--` `distribute-lft-out` `distribute-lft-out--`
3×	`exp-prod` `sub-neg`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-l/` `associate-r/`
1×	`+-commutative` `rem-sqrt-square` `sum-log` `pow1/2` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 93

Calls

4 calls:

4.0ms	(sqrt (exp x))
17.0ms	(+ (sqrt (exp x)) 1)
80.0ms	(* (+ (sqrt (exp x)) 1) (- (sqrt (exp x)) 1))
13.0ms	(- (sqrt (exp x)) 1)

series165.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(sqrt (exp x))
24.0ms	(+ (sqrt (exp x)) 1)
79.0ms	(* (+ (sqrt (exp x)) 1) (- (sqrt (exp x)) 1))
40.0ms	(- (sqrt (exp x)) 1)

simplify831.0ms

Counts

105 → 105

Iterations

Iter	Nodes
done	2001
2	1222
1	309
0	120

prune381.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes134.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	26
1	26
0	16

end0.0ms

sample2.9s

Algorithm

intervals

Results

989.0ms	3346×	body	1280	valid
740.0ms	12023×	pre	80	true
528.0ms	2562×	body	640	valid
192.0ms	1265×	body	320	valid
169.0ms	4224×	body	80	valid
52.0ms	626×	body	160	valid