Details

sample59.0ms

Algorithm

intervals

Results

24.0ms	72×	body	1280	valid
12.0ms	49×	body	640	valid
8.0ms	180×	body	80	valid
3.0ms	20×	body	320	valid
2.0ms	18×	body	160	valid

simplify15.0ms

Counts

1 → 1

Iterations

Iter	Nodes
4	16
3	16
2	14
1	11
0	5

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.9b

localize15.0ms

Local error

Found 1 expressions with local error:

4.6b	(- (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)

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(- (exp x) 1)

simplify1.4s

Counts

20 → 20

Iterations

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

prune77.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (* x x) (+ 1/2 (* x 1/6)))
0.3b	(* x 1/6)
3.9b	(/ (+ x (* (* x x) (+ 1/2 (* x 1/6)))) x)

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
14×	`*-un-lft-identity` `add-cube-cbrt`
12×	`add-cbrt-cube` `add-exp-log`
10×	`pow1`
9×	`times-frac`
6×	`associate-r`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`associate-/r` `insert-posit16` `associate-/l` `add-log-exp`
2×	`flip3-+` `associate-r/` `-commutative` `flip-+` `unswap-sqr` `associate-/l/`
1×	`distribute-rgt-in` `cbrt-undiv` `clear-num` `frac-2neg` `distribute-lft-in` `div-exp` `div-inv`

Counts

3 → 73

Calls

3 calls:

25.0ms	(* (* x x) (+ 1/2 (* x 1/6)))
5.0ms	(* x 1/6)
41.0ms	(/ (+ x (* (* x x) (+ 1/2 (* x 1/6)))) x)

series199.0ms

Counts

3 → 9

Calls

3 calls:

100.0ms	(* (* x x) (+ 1/2 (* x 1/6)))
18.0ms	(* x 1/6)
81.0ms	(/ (+ x (* (* x x) (+ 1/2 (* x 1/6)))) x)

simplify3.3s

Counts

82 → 82

Iterations

Iter	Nodes
3	6350
2	1241
1	356
0	134

prune266.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

4.6b	(log (exp (- (exp x) 1)))
4.6b	(- (exp x) 1)

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
10×	`*-un-lft-identity`
8×	`log-pow`
7×	`exp-prod`
5×	`log-prod`
4×	`add-cube-cbrt` `add-log-exp` `difference-of-squares`
3×	`pow1`
2×	`sub-neg` `add-cbrt-cube` `difference-of-sqr-1` `exp-sum` `add-exp-log` `insert-posit16` `distribute-lft-out--`
1×	`log-div` `flip3--` `exp-diff` `diff-log` `rem-log-exp` `flip--`

Counts

2 → 40

Calls

2 calls:

30.0ms	(log (exp (- (exp x) 1)))
17.0ms	(- (exp x) 1)

series37.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(log (exp (- (exp x) 1)))
16.0ms	(- (exp x) 1)

simplify8.8s

Counts

46 → 46

Iterations

Iter	Nodes
6	5809
5	1960
4	808
3	414
2	225
1	127
0	70

prune164.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

4.6b	(log (exp (- (exp x) 1)))
4.6b	(- (exp x) 1)
4.6b	(- (exp x) 1)
4.6b	(- (exp x) 1)

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
18×	`*-un-lft-identity`
10×	`add-log-exp`
8×	`log-pow` `difference-of-squares`
7×	`exp-prod`
6×	`add-cube-cbrt`
5×	`pow1` `log-prod`
4×	`sub-neg` `add-cbrt-cube` `difference-of-sqr-1` `add-exp-log` `insert-posit16` `distribute-lft-out--`
3×	`flip3--` `diff-log` `flip--`
2×	`exp-sum`
1×	`log-div` `exp-diff` `rem-log-exp`

Counts

4 → 74

Calls

4 calls:

29.0ms	(log (exp (- (exp x) 1)))
13.0ms	(- (exp x) 1)
13.0ms	(- (exp x) 1)
13.0ms	(- (exp x) 1)

series77.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(log (exp (- (exp x) 1)))
18.0ms	(- (exp x) 1)
21.0ms	(- (exp x) 1)
22.0ms	(- (exp x) 1)

simplify8.3s

Counts

86 → 86

Iterations

Iter	Nodes
6	5809
5	1960
4	808
3	414
2	225
1	127
0	70

prune325.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes19.0ms

Accuracy

99.4% (0.1b remaining)

Error of 0.3b against oracle of 0.2b and baseline of 21.6b

bsearch50.0ms

Steps

Iters	Range		Point
9	-0.030639508246526274	-1.9696345359431407e-07	-0.000188050340254322

simplify7.0ms

Iterations

Iter	Nodes
2	26
1	26
0	21

end0.0ms

sample2.0s

Algorithm

intervals

Results

861.0ms	2153×	body	1280	valid
454.0ms	1703×	body	640	valid
267.0ms	5485×	body	80	valid
187.0ms	812×	body	320	valid
78.0ms	453×	body	160	valid