Details

sample543.0ms

Algorithm

intervals

Results

175.0ms	219×	body	10240	exit
94.0ms	237×	body	80	valid
64.0ms	420×	body	80	nan
5.0ms	24×	body	160	valid

simplify1.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	752
5	179
4	74
3	40
2	28
1	19
0	10

prune25.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.1b

localize31.0ms

Local error

Found 4 expressions with local error:

0.3b	(sqrt (/ (- (pow (exp x) 2.0) 1.0) (- (exp x) 1.0)))
0.3b	(/ (- (pow (exp x) 2.0) 1.0) (- (exp x) 1.0))
5.6b	(- (pow (exp x) 2.0) 1.0)
5.7b	(- (exp x) 1.0)

rewrite166.0ms

Algorithm

rewrite-expression-head

Rules

126×	`add-sqr-sqrt`
87×	`*-un-lft-identity`
71×	`times-frac`
52×	`difference-of-squares`
41×	`sqrt-prod`
31×	`add-cube-cbrt`
28×	`distribute-lft-out--`
12×	`unpow-prod-down` `sqr-pow`
8×	`add-log-exp`
7×	`associate-/l*`
6×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `associate-/r*` `flip3--` `flip--`
4×	`associate-/r/`
2×	`rem-sqrt-square` `sub-neg` `diff-log` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `sqrt-div` `div-sub` `div-exp`

Counts

4 → 147

Calls

4 calls:

33.0ms	(sqrt (/ (- (pow (exp x) 2.0) 1.0) (- (exp x) 1.0)))
64.0ms	(/ (- (pow (exp x) 2.0) 1.0) (- (exp x) 1.0))
37.0ms	(- (pow (exp x) 2.0) 1.0)
20.0ms	(- (exp x) 1.0)

series250.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(sqrt (/ (- (pow (exp x) 2.0) 1.0) (- (exp x) 1.0)))
72.0ms	(/ (- (pow (exp x) 2.0) 1.0) (- (exp x) 1.0))
28.0ms	(- (pow (exp x) 2.0) 1.0)
32.0ms	(- (exp x) 1.0)

simplify868.0ms

Counts

159 → 159

Iterations

Iter	Nodes
done	5001
2	1476
1	475
0	231

prune806.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize43.0ms

Local error

Found 4 expressions with local error:

0.3b	(sqrt (pow (exp x) 2.0))
0.3b	(sqrt (pow (exp x) 2.0))
5.7b	(- (sqrt (pow (exp x) 2.0)) (sqrt 1.0))
5.7b	(- (exp x) 1.0)

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
26×	`sqrt-prod`
14×	`*-un-lft-identity`
10×	`unpow-prod-down`
9×	`difference-of-squares`
8×	`add-cube-cbrt` `add-log-exp`
6×	`rem-sqrt-square` `sqr-pow`
4×	`pow1` `add-cbrt-cube` `add-exp-log`
3×	`distribute-lft-out--`
2×	`sub-neg` `sqrt-pow1` `flip3--` `pow1/2` `diff-log` `flip--`

Counts

4 → 74

Calls

4 calls:

4.0ms	(sqrt (pow (exp x) 2.0))
4.0ms	(sqrt (pow (exp x) 2.0))
24.0ms	(- (sqrt (pow (exp x) 2.0)) (sqrt 1.0))
12.0ms	(- (exp x) 1.0)

series526.0ms

Counts

4 → 12

Calls

4 calls:

228.0ms	(sqrt (pow (exp x) 2.0))
250.0ms	(sqrt (pow (exp x) 2.0))
32.0ms	(- (sqrt (pow (exp x) 2.0)) (sqrt 1.0))
16.0ms	(- (exp x) 1.0)

simplify931.0ms

Counts

86 → 86

Iterations

Iter	Nodes
done	5001
3	1781
2	552
1	211
0	105

prune534.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize68.0ms

Local error

Found 4 expressions with local error:

0.3b	(sqrt (pow (exp x) 2.0))
0.3b	(sqrt (exp x))
5.7b	(- (sqrt (pow (exp x) 2.0)) (sqrt 1.0))
5.7b	(- (exp x) 1.0)

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
22×	`sqrt-prod`
14×	`*-un-lft-identity`
9×	`difference-of-squares`
8×	`add-cube-cbrt` `add-log-exp`
6×	`unpow-prod-down`
5×	`pow1` `sqrt-pow1`
4×	`rem-sqrt-square` `add-cbrt-cube` `add-exp-log` `sqr-pow`
3×	`exp-prod` `distribute-lft-out--`
2×	`sub-neg` `flip3--` `pow1/2` `diff-log` `flip--`

Counts

4 → 71

Calls

4 calls:

4.0ms	(sqrt (pow (exp x) 2.0))
2.0ms	(sqrt (exp x))
38.0ms	(- (sqrt (pow (exp x) 2.0)) (sqrt 1.0))
17.0ms	(- (exp x) 1.0)

series356.0ms

Counts

4 → 12

Calls

4 calls:

258.0ms	(sqrt (pow (exp x) 2.0))
23.0ms	(sqrt (exp x))
57.0ms	(- (sqrt (pow (exp x) 2.0)) (sqrt 1.0))
17.0ms	(- (exp x) 1.0)

simplify1.1s

Counts

83 → 83

Iterations

Iter	Nodes
done	5000
3	2175
2	672
1	244
0	125

prune657.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.2b

localize50.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (pow (exp x) 2.0))
0.5b	(cbrt (pow (exp x) 2.0))
5.7b	(- (sqrt (pow (exp x) 2.0)) (sqrt 1.0))
5.7b	(- (exp x) 1.0)

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
14×	`cbrt-prod` `*-un-lft-identity`
12×	`sqrt-prod`
9×	`difference-of-squares`
8×	`unpow-prod-down` `add-cube-cbrt` `add-log-exp`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `sqr-pow`
3×	`distribute-lft-out--`
2×	`sub-neg` `flip3--` `pow1/3` `diff-log` `flip--`

Counts

4 → 66

Calls

4 calls:

2.0ms	(cbrt (pow (exp x) 2.0))
2.0ms	(cbrt (pow (exp x) 2.0))
31.0ms	(- (sqrt (pow (exp x) 2.0)) (sqrt 1.0))
12.0ms	(- (exp x) 1.0)

series550.0ms

Counts

4 → 12

Calls

4 calls:

218.0ms	(cbrt (pow (exp x) 2.0))
277.0ms	(cbrt (pow (exp x) 2.0))
39.0ms	(- (sqrt (pow (exp x) 2.0)) (sqrt 1.0))
17.0ms	(- (exp x) 1.0)

simplify899.0ms

Counts

78 → 78

Iterations

Iter	Nodes
done	5000
3	1822
2	559
1	218
0	110

prune563.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.2b

regimes58.0ms

Accuracy

71.2% (0.8b remaining)

Error of 0.9b against oracle of 0.1b and baseline of 2.9b

bsearch42.0ms

Steps

Iters	Range		Point
5	-6.822245010336324e-16	-3.377650807335256e-16	-6.751810080739974e-16

simplify10.0ms

Iterations

Iter	Nodes
done	45
3	45
2	43
1	41
0	34

end0.0ms

sample7.9s

Algorithm

intervals

Results

3.9s	6603×	body	10240	exit
1.8s	12843×	body	80	nan
779.0ms	7414×	body	80	valid
652.0ms	698×	body	160	valid