Details

sample90.0ms

Algorithm

intervals

Results

34.0ms	102×	body	1280	valid
19.0ms	87×	body	640	valid
12.0ms	380×	pre	80	true
6.0ms	43×	body	320	valid
5.0ms	128×	body	80	valid
2.0ms	20×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	8
2	8
1	7
0	4

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.1b

localize11.0ms

Local error

Found 1 expressions with local error:

5.3b	(- (exp x) 1)

rewrite17.0ms

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)

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

(- (exp x) 1)

simplify1.1s

Counts

20 → 20

Iterations

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

prune175.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 2 expressions with local error:

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

rewrite53.0ms

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:

42.0ms	(* (* x x) (+ 1/2 (* x 1/6)))
11.0ms	(* x 1/6)

series141.0ms

Counts

2 → 6

Calls

2 calls:

124.0ms	(* (* x x) (+ 1/2 (* x 1/6)))
17.0ms	(* x 1/6)

simplify1.7s

Counts

49 → 49

Iterations

Iter	Nodes
3	3789
2	790
1	238
0	81

prune385.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

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

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

8.0ms	(exp (* x 3))
13.0ms	(+ (exp x) 1)
38.0ms	(/ (+ (exp (* x 3)) -1) (+ 1 (* (+ (exp x) 1) (exp x))))
17.0ms	(+ (exp (* x 3)) -1)

series135.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(exp (* x 3))
9.0ms	(+ (exp x) 1)
89.0ms	(/ (+ (exp (* x 3)) -1) (+ 1 (* (+ (exp x) 1) (exp x))))
30.0ms	(+ (exp (* x 3)) -1)

simplify2.2s

Counts

91 → 91

Iterations

Iter	Nodes
3	3104
2	1045
1	354
0	141

prune666.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

5.3b	(- (exp x) 1)

rewrite17.0ms

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:

17.0ms

(- (exp x) 1)

series16.0ms

Counts

1 → 3

Calls

1 calls:

16.0ms

(- (exp x) 1)

simplify1.4s

Counts

20 → 20

Iterations

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

prune89.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes78.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	12
1	12
0	8

end0.0ms

sample2.5s

Algorithm

intervals

Results

998.0ms	3433×	body	1280	valid
553.0ms	2587×	body	640	valid
369.0ms	11998×	pre	80	true
146.0ms	1203×	body	320	valid
128.0ms	4176×	body	80	valid
112.0ms	599×	body	160	valid