Details

sample320.0ms

Algorithm

intervals

Results

36.0ms	192×	body	10240	exit
13.0ms	393×	body	80	nan
8.0ms	245×	body	80	valid
1.0ms	13×	body	160	valid

simplify1.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	10	12
1	19	12
2	28	12
3	41	12
4	76	12
5	175	12
6	477	12
7	1684	12
done	5001	12

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.9b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
0.0b	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
3.5b	(- (exp (* 2.0 x)) 1.0)
3.5b	(- (exp x) 1.0)

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

92×	`add-sqr-sqrt`
89×	`*-un-lft-identity`
51×	`times-frac`
41×	`add-cube-cbrt`
31×	`sqrt-prod`
24×	`distribute-lft-out--` `difference-of-squares`
18×	`prod-diff`
8×	`add-log-exp`
6×	`add-exp-log` `fma-neg` `add-cbrt-cube`
5×	`pow1` `flip3--` `associate-/r` `flip--` `associate-/l`
4×	`expm1-log1p-u` `associate-/r/` `log1p-expm1-u`
2×	`sub-neg` `rem-sqrt-square` `diff-log` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `sqrt-pow1` `pow1/2` `sqrt-div` `div-sub` `div-exp` `clear-num`

Counts

4 → 155

Calls

4 calls:

13.0ms	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
16.0ms	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
4.0ms	(- (exp (* 2.0 x)) 1.0)
7.0ms	(- (exp x) 1.0)

series211.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
57.0ms	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
32.0ms	(- (exp (* 2.0 x)) 1.0)
24.0ms	(- (exp x) 1.0)

simplify541.0ms

Counts

167 → 167

Iterations

Useful iterations: 2 (176.0ms)

Iter	Nodes	Cost
0	232	2954
1	475	2688
2	1321	2453
done	5000	2453

prune395.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) 1.0)
0.0b	(sqrt (* (/ (- (exp (* 2.0 x)) 1.0) (- (exp (+ x x)) (* 1.0 1.0))) (+ (exp x) 1.0)))
3.5b	(- (exp (* 2.0 x)) 1.0)
3.5b	(- (exp (+ x x)) (* 1.0 1.0))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
14×	`add-cube-cbrt`
13×	`prod-diff`
10×	`add-log-exp`
7×	`pow1` `fma-neg`
5×	`sqrt-div`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`fma-def` `flip3-+` `exp-sum` `flip-+` `difference-of-squares`
2×	`frac-times` `sub-neg` `flip3--` `sqrt-pow1` `diff-log` `associate-*r/` `flip--`
1×	`+-commutative` `pow1/2` `pow-prod-down` `associate-*l/` `sum-log` `sqrt-prod` `distribute-lft-out` `distribute-lft-out--`

Counts

4 → 87

Calls

4 calls:

4.0ms	(+ (exp x) 1.0)
23.0ms	(sqrt (* (/ (- (exp (* 2.0 x)) 1.0) (- (exp (+ x x)) (* 1.0 1.0))) (+ (exp x) 1.0)))
4.0ms	(- (exp (* 2.0 x)) 1.0)
31.0ms	(- (exp (+ x x)) (* 1.0 1.0))

series188.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+ (exp x) 1.0)
131.0ms	(sqrt (* (/ (- (exp (* 2.0 x)) 1.0) (- (exp (+ x x)) (* 1.0 1.0))) (+ (exp x) 1.0)))
30.0ms	(- (exp (* 2.0 x)) 1.0)
20.0ms	(- (exp (+ x x)) (* 1.0 1.0))

simplify536.0ms

Counts

99 → 99

Iterations

Useful iterations: 2 (171.0ms)

Iter	Nodes	Cost
0	183	1444
1	421	1302
2	1360	1139
done	5000	1139

prune308.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp x))
0.0b	(sqrt (exp x))
3.5b	(- (exp (* 2.0 x)) 1.0)
3.5b	(- (exp (+ x x)) (* 1.0 1.0))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
17×	`add-cube-cbrt`
13×	`prod-diff`
8×	`sqrt-pow1` `add-log-exp`
7×	`fma-neg`
6×	`pow1` `exp-prod` `sqrt-prod`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`exp-sum` `difference-of-squares`
2×	`sub-neg` `rem-sqrt-square` `flip3--` `pow1/2` `diff-log` `flip--`
1×	`distribute-lft-out--`

Counts

4 → 88

Calls

4 calls:

1.0ms	(sqrt (exp x))
1.0ms	(sqrt (exp x))
4.0ms	(- (exp (* 2.0 x)) 1.0)
28.0ms	(- (exp (+ x x)) (* 1.0 1.0))

series74.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(sqrt (exp x))
12.0ms	(sqrt (exp x))
29.0ms	(- (exp (* 2.0 x)) 1.0)
21.0ms	(- (exp (+ x x)) (* 1.0 1.0))

simplify2.1s

Counts

100 → 100

Iterations

Useful iterations: 3 (605.0ms)

Iter	Nodes	Cost
0	141	1009
1	284	881
2	791	747
3	3949	669
done	5000	669

prune340.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

3.5b	(- (exp (* 2.0 x)) 1.0)
3.5b	(- (exp (+ x x)) (* 1.0 1.0))
3.5b	(- (exp (+ x x)) (* 1.0 1.0))
3.5b	(- (exp (+ x x)) (* 1.0 1.0))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
21×	`prod-diff`
19×	`*-un-lft-identity`
17×	`add-cube-cbrt`
15×	`fma-neg`
12×	`add-log-exp`
9×	`exp-sum`
7×	`difference-of-squares`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `log1p-expm1-u`
1×	`distribute-lft-out--`

Counts

4 → 100

Calls

4 calls:

4.0ms	(- (exp (* 2.0 x)) 1.0)
28.0ms	(- (exp (+ x x)) (* 1.0 1.0))
29.0ms	(- (exp (+ x x)) (* 1.0 1.0))
28.0ms	(- (exp (+ x x)) (* 1.0 1.0))

series87.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(- (exp (* 2.0 x)) 1.0)
20.0ms	(- (exp (+ x x)) (* 1.0 1.0))
23.0ms	(- (exp (+ x x)) (* 1.0 1.0))
20.0ms	(- (exp (+ x x)) (* 1.0 1.0))

simplify1.9s

Counts

112 → 112

Iterations

Useful iterations: 3 (525.0ms)

Iter	Nodes	Cost
0	114	1475
1	247	1351
2	724	1115
3	3704	979
done	5000	979

prune408.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes24.0ms

Accuracy

75.8% (0.7b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 2.8b

bsearch46.0ms

Steps

Iters	Range		Point
7	-7.520341406059738e-16	-2.574374193275519e-17	-7.268542916058787e-16

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	39
1	27	39
done	27	39

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.3s	6629×	body	10240	exit
368.0ms	12553×	body	80	nan
240.0ms	7427×	body	80	valid
55.0ms	715×	body	160	valid