Details

sample53.0ms

Algorithm

intervals

Results

21.0ms	116×	body	1280	valid
9.0ms	87×	body	640	valid
4.0ms	385×	pre	80	true
2.0ms	136×	body	80	valid
2.0ms	30×	body	320	valid
1.0ms	16×	body	160	valid

simplify6.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	7
2	7
1	6
0	4

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.3b

localize9.0ms

Local error

Found 1 expressions with local error:

5.1b	(- (exp x) 1.0)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 14

Calls

1 calls:

12.0ms

(- (exp x) 1.0)

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(- (exp x) 1.0)

simplify2.1s

Counts

17 → 17

Iterations

Iter	Nodes
done	5000
5	2457
4	907
3	416
2	196
1	83
0	39

prune82.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite37.0ms

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` `add-log-exp` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+`

Counts

2 → 41

Calls

2 calls:

30.0ms	(* (* x x) (+ 1/2 (* x 1/6)))
5.0ms	(* x 1/6)

series116.0ms

Counts

2 → 6

Calls

2 calls:

100.0ms	(* (* x x) (+ 1/2 (* x 1/6)))
16.0ms	(* x 1/6)

simplify1.4s

Counts

47 → 47

Iterations

Iter	Nodes
done	5001
2	987
1	265
0	79

prune133.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

5.1b	(+ (exp x) (- 1.0))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

5×	`*-un-lft-identity` `add-log-exp`
2×	`sum-log` `distribute-lft-out`
1×	`neg-sub0` `add-sqr-sqrt` `pow1` `+-commutative` `associate-+r-` `distribute-rgt-neg-in` `flip3-+` `add-cbrt-cube` `unsub-neg` `neg-log` `add-exp-log` `add-cube-cbrt` `flip-+`

Counts

1 → 17

Calls

1 calls:

12.0ms

(+ (exp x) (- 1.0))

series23.0ms

Counts

1 → 3

Calls

1 calls:

23.0ms

(+ (exp x) (- 1.0))

simplify2.3s

Counts

20 → 20

Iterations

Iter	Nodes
done	5001
4	2757
3	1188
2	388
1	116
0	42

prune72.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp x) (+ (exp x) 1.0))
0.0b	(+ (exp x) 1.0)
0.5b	(/ (- (exp (* 3 x)) (* 1.0 (* 1.0 1.0))) (+ (* (exp x) (+ (exp x) 1.0)) (* 1.0 1.0)))
5.3b	(- (exp (* 3 x)) (* 1.0 (* 1.0 1.0)))

rewrite166.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
16×	`add-sqr-sqrt`
14×	`add-cube-cbrt`
9×	`times-frac`
8×	`add-cbrt-cube` `add-log-exp`
7×	`add-exp-log`
6×	`pow1`
4×	`associate-r`
3×	`associate-/r` `flip3-+` `associate-l` `flip-+` `associate-/l`
2×	`flip3--` `associate-*r/` `associate-/r/` `flip--` `distribute-lft-out` `associate-/l/`
1×	`distribute-rgt-in` `cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `distribute-lft-in` `diff-log` `div-sub` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 79

Calls

4 calls:

53.0ms	(* (exp x) (+ (exp x) 1.0))
13.0ms	(+ (exp x) 1.0)
84.0ms	(/ (- (exp (* 3 x)) (* 1.0 (* 1.0 1.0))) (+ (* (exp x) (+ (exp x) 1.0)) (* 1.0 1.0)))
12.0ms	(- (exp (* 3 x)) (* 1.0 (* 1.0 1.0)))

series224.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (exp x) (+ (exp x) 1.0))
10.0ms	(+ (exp x) 1.0)
151.0ms	(/ (- (exp (* 3 x)) (* 1.0 (* 1.0 1.0))) (+ (* (exp x) (+ (exp x) 1.0)) (* 1.0 1.0)))
36.0ms	(- (exp (* 3 x)) (* 1.0 (* 1.0 1.0)))

simplify1.9s

Counts

91 → 91

Iterations

Iter	Nodes
done	5008
2	1551
1	437
0	156

prune476.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes102.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	12
1	12
0	8

end0.0ms

sample1.9s

Algorithm

intervals

Results

837.0ms	3439×	body	1280	valid
398.0ms	2518×	body	640	valid
202.0ms	11878×	pre	80	true
111.0ms	4088×	body	80	valid
105.0ms	1217×	body	320	valid
35.0ms	616×	body	160	valid