Details

sample71.0ms

Algorithm

intervals

Results

22.0ms	99×	body	1280	valid
20.0ms	86×	body	640	valid
5.0ms	386×	pre	80	true
4.0ms	42×	body	320	valid
3.0ms	136×	body	80	valid
1.0ms	23×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	112
1	6	112
2	7	112
done	7	112

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.0b

localize9.0ms

Local error

Found 1 expressions with local error:

5.6b	(- (exp x) 1.0)

rewrite15.0ms

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:

15.0ms

(- (exp x) 1.0)

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

(- (exp x) 1.0)

simplify2.4s

Counts

17 → 17

Iterations

Useful iterations: 4 (345.0ms)

Iter	Nodes	Cost
0	39	4032
1	83	3319
2	196	3319
3	416	3279
4	907	3240
5	2457	3240
done	5000	3240

prune72.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite46.0ms

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:

34.0ms	(* (* x x) (+ (* x 1/6) 1/2))
10.0ms	(* x 1/6)

series139.0ms

Counts

2 → 6

Calls

2 calls:

111.0ms	(* (* x x) (+ (* x 1/6) 1/2))
28.0ms	(* x 1/6)

simplify1.8s

Counts

47 → 47

Iterations

Useful iterations: 2 (284.0ms)

Iter	Nodes	Cost
0	79	9228
1	266	7409
2	970	7129
done	5001	7129

prune160.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

5.6b	(- (exp x) 1.0)
5.6b	(log (exp (- (exp x) 1.0)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `*-un-lft-identity`
6×	`log-pow`
5×	`log-prod` `exp-prod`
4×	`add-cube-cbrt` `add-log-exp`
3×	`pow1`
2×	`sub-neg` `add-cbrt-cube` `exp-sum` `add-exp-log` `distribute-lft-out--` `difference-of-squares`
1×	`log-div` `flip3--` `exp-diff` `diff-log` `rem-log-exp` `flip--`

Counts

2 → 34

Calls

2 calls:

15.0ms	(- (exp x) 1.0)
40.0ms	(log (exp (- (exp x) 1.0)))

series44.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(- (exp x) 1.0)
26.0ms	(log (exp (- (exp x) 1.0)))

simplify2.5s

Counts

40 → 40

Iterations

Useful iterations: 4 (523.0ms)

Iter	Nodes	Cost
0	67	11382
1	133	7597
2	284	7457
3	640	7377
4	1272	7338
5	3124	7338
done	5002	7338

prune120.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

5.6b	(- (exp x) 1.0)
5.6b	(log (exp (- (exp x) 1.0)))
5.6b	(log (exp (- (exp x) 1.0)))
5.6b	(log (exp (- (exp x) 1.0)))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt` `*-un-lft-identity` `log-pow`
15×	`log-prod` `exp-prod`
10×	`add-cube-cbrt`
7×	`pow1`
6×	`exp-sum` `add-log-exp`
4×	`sub-neg` `add-cbrt-cube` `add-exp-log` `distribute-lft-out--` `difference-of-squares`
3×	`log-div` `exp-diff` `rem-log-exp`
1×	`flip3--` `diff-log` `flip--`

Counts

4 → 74

Calls

4 calls:

8.0ms	(- (exp x) 1.0)
22.0ms	(log (exp (- (exp x) 1.0)))
37.0ms	(log (exp (- (exp x) 1.0)))
37.0ms	(log (exp (- (exp x) 1.0)))

series75.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(- (exp x) 1.0)
18.0ms	(log (exp (- (exp x) 1.0)))
15.0ms	(log (exp (- (exp x) 1.0)))
16.0ms	(log (exp (- (exp x) 1.0)))

simplify2.8s

Counts

86 → 86

Iterations

Useful iterations: 4 (558.0ms)

Iter	Nodes	Cost
0	67	26082
1	133	16153
2	284	15733
3	640	15573
4	1272	15534
5	3124	15534
done	5002	15534

prune441.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes62.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.2b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	203
1	12	203
done	12	203

end0.0ms

sample2.5s

Algorithm

intervals

Results

879.0ms	3379×	body	1280	valid
510.0ms	4190×	body	80	valid
458.0ms	2485×	body	640	valid
237.0ms	11985×	pre	80	true
120.0ms	1271×	body	320	valid
40.0ms	660×	body	160	valid