Details

sample32.0ms

Algorithm

intervals

Results

12.0ms	85×	body	1280	valid
4.0ms	38×	body	640	valid
3.0ms	178×	body	80	valid
1.0ms	22×	body	320	valid
1.0ms	12×	body	160	valid

simplify65.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	3
1	18	3
2	27	3
3	50	3
4	115	3
5	329	3
6	1642	3
7	5001	3
done	5001	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.3b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(exp (* a x))
4.2b	(- (exp (* a x)) 1.0)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`add-cube-cbrt` `prod-diff`
6×	`add-log-exp`
3×	`fma-neg`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
1×	`sub-neg` `exp-prod` `flip3--` `exp-to-pow` `diff-log` `flip--` `rem-exp-log` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 40

Calls

2 calls:

7.0ms	(exp (* a x))
15.0ms	(- (exp (* a x)) 1.0)

series49.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(exp (* a x))
36.0ms	(- (exp (* a x)) 1.0)

simplify83.0ms

Counts

46 → 46

Iterations

Useful iterations: 3 (80.0ms)

Iter	Nodes	Cost
0	173	292
1	562	211
2	2710	200
3	5002	164
done	5002	164

prune91.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 7.8b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (- (exp (* a x)) 1.0))
0.0b	(exp (* a x))
4.2b	(log (exp (- (exp (* a x)) 1.0)))
4.2b	(- (exp (* a x)) 1.0)

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt` `*-un-lft-identity`
27×	`prod-diff`
26×	`add-cube-cbrt`
22×	`exp-sum`
14×	`log-prod`
11×	`exp-prod` `add-log-exp`
6×	`log-pow`
5×	`pow1`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`sub-neg` `fma-neg` `rem-exp-log` `distribute-lft-out--` `difference-of-squares`
2×	`exp-diff` `diff-log`
1×	`log-div` `flip3--` `exp-to-pow` `rem-log-exp` `flip--`

Counts

4 → 99

Calls

4 calls:

29.0ms	(exp (- (exp (* a x)) 1.0))
4.0ms	(exp (* a x))
30.0ms	(log (exp (- (exp (* a x)) 1.0)))
14.0ms	(- (exp (* a x)) 1.0)

series124.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(exp (- (exp (* a x)) 1.0))
13.0ms	(exp (* a x))
34.0ms	(log (exp (- (exp (* a x)) 1.0)))
37.0ms	(- (exp (* a x)) 1.0)

simplify98.0ms

Counts

111 → 111

Iterations

Useful iterations: 3 (91.0ms)

Iter	Nodes	Cost
0	249	828
1	718	594
2	3198	484
3	5002	483
done	5002	483

prune194.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 7.8b

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (- (exp (* a x)) 1.0))
4.2b	(- (exp (* a x)) 1.0)
4.2b	(- (exp (* a x)) 1.0)
4.2b	(- (exp (* a x)) 1.0)

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt` `*-un-lft-identity`
27×	`prod-diff`
26×	`add-cube-cbrt`
10×	`add-log-exp`
9×	`fma-neg`
5×	`cbrt-prod`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `flip3--` `add-cbrt-cube` `flip--` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`sub-neg` `diff-log`
2×	`cbrt-div`
1×	`pow1/3`

Counts

4 → 101

Calls

4 calls:

8.0ms	(cbrt (- (exp (* a x)) 1.0))
14.0ms	(- (exp (* a x)) 1.0)
14.0ms	(- (exp (* a x)) 1.0)
17.0ms	(- (exp (* a x)) 1.0)

series206.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(cbrt (- (exp (* a x)) 1.0))
34.0ms	(- (exp (* a x)) 1.0)
35.0ms	(- (exp (* a x)) 1.0)
38.0ms	(- (exp (* a x)) 1.0)

simplify114.0ms

Counts

113 → 113

Iterations

Useful iterations: 3 (101.0ms)

Iter	Nodes	Cost
0	227	927
1	730	660
2	3541	616
3	5001	569
done	5001	569

prune272.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 7.7b

localize15.0ms

Local error

Found 4 expressions with local error:

1.8b	(log (exp (cbrt (- (exp (* a x)) 1.0))))
4.2b	(- (exp (* a x)) 1.0)
4.2b	(- (exp (* a x)) 1.0)
4.2b	(- (exp (* a x)) 1.0)

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt` `*-un-lft-identity`
28×	`add-cube-cbrt`
27×	`prod-diff`
10×	`add-log-exp`
9×	`fma-neg` `log-pow`
8×	`exp-prod`
5×	`pow1` `cbrt-prod`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`sub-neg` `log-prod` `flip3--` `diff-log` `flip--`
1×	`rem-log-exp`

Counts

4 → 106

Calls

4 calls:

26.0ms	(log (exp (cbrt (- (exp (* a x)) 1.0))))
14.0ms	(- (exp (* a x)) 1.0)
14.0ms	(- (exp (* a x)) 1.0)
14.0ms	(- (exp (* a x)) 1.0)

series204.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(log (exp (cbrt (- (exp (* a x)) 1.0))))
38.0ms	(- (exp (* a x)) 1.0)
34.0ms	(- (exp (* a x)) 1.0)
34.0ms	(- (exp (* a x)) 1.0)

simplify107.0ms

Counts

118 → 118

Iterations

Useful iterations: 3 (99.0ms)

Iter	Nodes	Cost
0	253	943
1	767	663
2	3611	619
3	5001	572
done	5001	572

prune298.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 7.7b

regimes292.0ms

Accuracy

94.6% (1.2b remaining)

Error of 9.8b against oracle of 8.6b and baseline of 29.9b

bsearch1.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	15
1	26	15
done	26	15

end0.0ms

sample918.0ms

Algorithm

intervals

Results

393.0ms	2640×	body	1280	valid
120.0ms	1317×	body	640	valid
96.0ms	5440×	body	80	valid
48.0ms	795×	body	320	valid
17.0ms	423×	body	160	valid