Details

sample99.0ms

Algorithm

intervals

Results

42.0ms	116×	body	1280	valid
18.0ms	75×	body	640	valid
13.0ms	382×	pre	80	true
6.0ms	37×	body	320	valid
5.0ms	135×	body	80	valid
2.0ms	19×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	8
2	8
1	7
0	4

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.2b

localize11.0ms

Local error

Found 1 expressions with local error:

5.6b	(- (exp x) 1)

rewrite8.0ms

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:

8.0ms

(- (exp x) 1)

series24.0ms

Counts

1 → 3

Calls

1 calls:

24.0ms

(- (exp x) 1)

simplify1.3s

Counts

20 → 20

Iterations

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

prune171.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1/2 (* x 1/6))
0.0b	(* (* x x) (+ 1/2 (* x 1/6)))
0.4b	(* x 1/6)

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`add-sqr-sqrt`
6×	`-un-lft-identity` `associate-r*` `add-cube-cbrt`
5×	`add-log-exp`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`insert-posit16`
2×	`flip3-+` `associate-r/` `-commutative` `flip-+` `unswap-sqr`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `distribute-lft-in`

Counts

3 → 55

Calls

3 calls:

9.0ms	(+ 1/2 (* x 1/6))
28.0ms	(* (* x x) (+ 1/2 (* x 1/6)))
5.0ms	(* x 1/6)

series197.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(+ 1/2 (* x 1/6))
118.0ms	(* (* x x) (+ 1/2 (* x 1/6)))
27.0ms	(* x 1/6)

simplify1.8s

Counts

64 → 64

Iterations

Iter	Nodes
3	3818
2	848
1	259
0	90

prune521.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) 1)
0.0b	(exp (* x 3))
0.0b	(/ (+ (exp (* x 3)) -1) (+ 1 (* (+ (exp x) 1) (exp x))))
5.5b	(+ (exp (* x 3)) -1)

rewrite54.0ms

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:

6.0ms	(+ (exp x) 1)
4.0ms	(exp (* x 3))
34.0ms	(/ (+ (exp (* x 3)) -1) (+ 1 (* (+ (exp x) 1) (exp x))))
9.0ms	(+ (exp (* x 3)) -1)

series144.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(+ (exp x) 1)
11.0ms	(exp (* x 3))
94.0ms	(/ (+ (exp (* x 3)) -1) (+ 1 (* (+ (exp x) 1) (exp x))))
25.0ms	(+ (exp (* x 3)) -1)

simplify2.5s

Counts

91 → 91

Iterations

Iter	Nodes
3	3235
2	1050
1	354
0	141

prune782.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ (+ (exp (+ (* x 6) (* x 3))) -1) (+ 1 (* (exp (* x 3)) (- (exp (* x 3)) -1)))) (+ 1 (* (+ (exp x) 1) (exp x))))
0.0b	(exp (+ (* x 6) (* x 3)))
0.2b	(+ (* x 6) (* x 3))
5.7b	(+ (exp (+ (* x 6) (* x 3))) -1)

rewrite224.0ms

Algorithm

rewrite-expression-head

Rules

123×	`times-frac`
89×	`*-un-lft-identity`
76×	`add-sqr-sqrt`
63×	`add-cube-cbrt`
21×	`associate-/l*`
15×	`distribute-lft-out`
13×	`difference-of-sqr--1`
11×	`add-log-exp`
10×	`associate-/r/`
9×	`add-cbrt-cube` `add-exp-log`
7×	`flip3-+` `flip-+`
5×	`div-inv`
4×	`pow1` `exp-prod` `insert-posit16`
3×	`cbrt-undiv` `associate-/r*` `sum-log` `div-exp`
2×	`+-commutative` `rem-exp-log`
1×	`clear-num` `frac-2neg` `exp-sum` `associate-/l/`

Counts

4 → 147

Calls

4 calls:

148.0ms	(/ (/ (+ (exp (+ (* x 6) (* x 3))) -1) (+ 1 (* (exp (* x 3)) (- (exp (* x 3)) -1)))) (+ 1 (* (+ (exp x) 1) (exp x))))
28.0ms	(exp (+ (* x 6) (* x 3)))
18.0ms	(+ (* x 6) (* x 3))
28.0ms	(+ (exp (+ (* x 6) (* x 3))) -1)

series243.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(/ (/ (+ (exp (+ (* x 6) (* x 3))) -1) (+ 1 (* (exp (* x 3)) (- (exp (* x 3)) -1)))) (+ 1 (* (+ (exp x) 1) (exp x))))
9.0ms	(exp (+ (* x 6) (* x 3)))
29.0ms	(+ (* x 6) (* x 3))
21.0ms	(+ (exp (+ (* x 6) (* x 3))) -1)

simplify1.4s

Counts

159 → 159

Iterations

Iter	Nodes
2	2652
1	800
0	299

prune1.4s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

regimes101.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	14
1	14
0	9

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.1s	3373×	body	1280	valid
617.0ms	4149×	body	80	valid
517.0ms	2540×	body	640	valid
357.0ms	11965×	pre	80	true
185.0ms	1289×	body	320	valid
49.0ms	614×	body	160	valid