Details

sample73.0ms

Algorithm

intervals

Results

31.0ms	86×	body	1280	valid
9.0ms	190×	body	80	valid
9.0ms	36×	body	640	valid
3.0ms	20×	body	320	valid
1.0ms	10×	body	160	valid

simplify3.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	6
1	11	6
2	18	6
3	26	6
4	49	6
5	111	6
6	273	6
7	810	6
8	2970	6
done	5001	6

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.0b

localize11.0ms

Local error

Found 1 expressions with local error:

2.8b	(- (exp (* a x)) 1.0)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 14

Calls

1 calls:

26.0ms

(- (exp (* a x)) 1.0)

series54.0ms

Counts

1 → 3

Calls

1 calls:

54.0ms

(- (exp (* a x)) 1.0)

simplify2.3s

Counts

17 → 17

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	45	188
1	105	183
2	266	167
3	722	165
4	2470	165
done	5001	161

prune65.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 2.1b

localize16.0ms

Local error

Found 2 expressions with local error:

2.8b	(log (exp (- (exp (* a x)) 1.0)))
2.8b	(- (exp (* a 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×	`add-exp-log` `sub-neg` `exp-sum` `add-cbrt-cube` `distribute-lft-out--` `difference-of-squares`
1×	`log-div` `flip3--` `exp-diff` `diff-log` `rem-log-exp` `flip--`

Counts

2 → 34

Calls

2 calls:

42.0ms	(log (exp (- (exp (* a x)) 1.0)))
13.0ms	(- (exp (* a x)) 1.0)

series114.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(log (exp (- (exp (* a x)) 1.0)))
71.0ms	(- (exp (* a x)) 1.0)

simplify2.4s

Counts

40 → 40

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	73	447
1	142	395
2	311	360
3	798	356
4	2674	356
done	5001	348

prune101.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 2.1b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (- (exp (* a x)) 1.0))
2.8b	(- (exp (* a x)) 1.0)
2.8b	(- (exp (* a x)) 1.0)
2.8b	(- (exp (* a x)) 1.0)

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 57

Calls

4 calls:

8.0ms	(cbrt (- (exp (* a x)) 1.0))
12.0ms	(- (exp (* a x)) 1.0)
12.0ms	(- (exp (* a x)) 1.0)
18.0ms	(- (exp (* a x)) 1.0)

series260.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(cbrt (- (exp (* a x)) 1.0))
46.0ms	(- (exp (* a x)) 1.0)
51.0ms	(- (exp (* a x)) 1.0)
39.0ms	(- (exp (* a x)) 1.0)

simplify4.0s

Counts

69 → 69

Iterations

Useful iterations: done (4.0s)

Iter	Nodes	Cost
0	77	831
1	168	808
2	420	714
3	1209	694
4	4654	684
done	5001	678

prune264.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 2.1b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (* (+ (sqrt (exp (* a x))) (sqrt 1.0)) (- (sqrt (exp (* a x))) (sqrt 1.0))))
2.8b	(- (exp (* a x)) 1.0)
2.8b	(- (exp (* a x)) 1.0)
2.8b	(- (sqrt (exp (* a x))) (sqrt 1.0))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
10×	`add-log-exp`
8×	`cbrt-div`
6×	`flip3--` `sqrt-prod` `flip--` `difference-of-squares`
4×	`pow1` `add-exp-log` `frac-times` `add-cube-cbrt` `add-cbrt-cube` `distribute-lft-out--`
3×	`sub-neg` `flip3-+` `diff-log` `flip-+`
2×	`associate-r/` `associate-l/`
1×	`cbrt-prod` `pow1/3`

Counts

4 → 63

Calls

4 calls:

47.0ms	(cbrt (* (+ (sqrt (exp (* a x))) (sqrt 1.0)) (- (sqrt (exp (* a x))) (sqrt 1.0))))
13.0ms	(- (exp (* a x)) 1.0)
25.0ms	(- (exp (* a x)) 1.0)
26.0ms	(- (sqrt (exp (* a x))) (sqrt 1.0))

series1.1s

Counts

4 → 12

Calls

4 calls:

961.0ms	(cbrt (* (+ (sqrt (exp (* a x))) (sqrt 1.0)) (- (sqrt (exp (* a x))) (sqrt 1.0))))
45.0ms	(- (exp (* a x)) 1.0)
45.0ms	(- (exp (* a x)) 1.0)
73.0ms	(- (sqrt (exp (* a x))) (sqrt 1.0))

simplify3.1s

Counts

75 → 75

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	144	1452
1	335	1138
2	1157	1061
3	4743	1034
done	5001	1034

prune343.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 2.0b

regimes416.0ms

Accuracy

97.4% (0.7b remaining)

Error of 3.0b against oracle of 2.4b and baseline of 29.0b

bsearch2.0ms

simplify13.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	37	68
1	50	68
done	50	68

end0.0ms

sample2.4s

Algorithm

intervals

Results

892.0ms	2727×	body	1280	valid
711.0ms	1276×	body	640	valid
284.0ms	5596×	body	80	valid
90.0ms	744×	body	320	valid
33.0ms	390×	body	160	valid