Details

sample440.0ms

Algorithm

intervals

Results

150.0ms	204×	body	10240	exit
26.0ms	388×	body	80	nan
20.0ms	242×	body	80	valid
3.0ms	20×	body	160	valid

simplify1.0s

Counts: 1 → 1

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.5b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
0.2b	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
4.5b	(- (exp (* 2.0 x)) 1.0)
4.6b	(- (exp x) 1.0)

rewrite186.0ms

Algorithm

rewrite-expression-head

Rules

78×	`add-sqr-sqrt`
75×	`*-un-lft-identity`
51×	`times-frac`
31×	`sqrt-prod`
27×	`add-cube-cbrt`
24×	`distribute-lft-out--` `difference-of-squares`
8×	`add-log-exp`
6×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `flip3--` `associate-/r` `flip--` `associate-/l`
4×	`associate-/r/`
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 → 123

Calls

4 calls:

55.0ms	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
57.0ms	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
22.0ms	(- (exp (* 2.0 x)) 1.0)
37.0ms	(- (exp x) 1.0)

series308.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
148.0ms	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
34.0ms	(- (exp (* 2.0 x)) 1.0)
41.0ms	(- (exp x) 1.0)

simplify2.0s

Counts: 135 → 135

prune658.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.3b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (- (sqrt (exp (* 2.0 x))) (sqrt 1.0)) (- (exp x) 1.0))
0.2b	(sqrt (/ (+ (sqrt (exp (* 2.0 x))) (sqrt 1.0)) 1))
4.6b	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
4.6b	(- (exp x) 1.0)

rewrite186.0ms

Algorithm

rewrite-expression-head

Rules

111×	`add-sqr-sqrt`
92×	`*-un-lft-identity`
67×	`sqrt-prod`
62×	`times-frac`
39×	`difference-of-squares`
29×	`add-cube-cbrt`
25×	`distribute-lft-out--`
9×	`associate-/l*`
8×	`add-log-exp`
6×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out`
5×	`pow1` `associate-/r*`
4×	`flip3--` `flip--`
3×	`rem-sqrt-square`
2×	`sub-neg` `diff-log` `associate-/r/` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `sqrt-pow1` `pow1/2` `sqrt-div` `div-sub` `div-exp` `clear-num`

Counts

4 → 140

Calls

4 calls:

99.0ms	(/ (- (sqrt (exp (* 2.0 x))) (sqrt 1.0)) (- (exp x) 1.0))
38.0ms	(sqrt (/ (+ (sqrt (exp (* 2.0 x))) (sqrt 1.0)) 1))
21.0ms	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
11.0ms	(- (exp x) 1.0)

series317.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(/ (- (sqrt (exp (* 2.0 x))) (sqrt 1.0)) (- (exp x) 1.0))
123.0ms	(sqrt (/ (+ (sqrt (exp (* 2.0 x))) (sqrt 1.0)) 1))
49.0ms	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
25.0ms	(- (exp x) 1.0)

simplify792.0ms

Counts: 152 → 152

prune773.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.2b

localize57.0ms

Local error

Found 4 expressions with local error:

0.3b	(sqrt (sqrt (exp (* 2.0 x))))
0.3b	(sqrt (sqrt (exp (* 2.0 x))))
4.7b	(- (sqrt (sqrt (exp (* 2.0 x)))) (sqrt (sqrt 1.0)))
4.7b	(- (sqrt (exp x)) (sqrt 1.0))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

50×	`sqrt-prod`
38×	`add-sqr-sqrt`
18×	`*-un-lft-identity`
16×	`sqrt-pow1`
13×	`difference-of-squares`
10×	`add-log-exp`
8×	`pow1` `add-cube-cbrt`
5×	`distribute-lft-out--`
4×	`add-exp-log` `rem-sqrt-square` `pow1/2` `add-cbrt-cube`
2×	`sub-neg` `exp-prod` `flip3--` `exp-to-pow` `diff-log` `flip--`

Counts

4 → 84

Calls

4 calls:

5.0ms	(sqrt (sqrt (exp (* 2.0 x))))
5.0ms	(sqrt (sqrt (exp (* 2.0 x))))
27.0ms	(- (sqrt (sqrt (exp (* 2.0 x)))) (sqrt (sqrt 1.0)))
26.0ms	(- (sqrt (exp x)) (sqrt 1.0))

series576.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(sqrt (sqrt (exp (* 2.0 x))))
152.0ms	(sqrt (sqrt (exp (* 2.0 x))))
224.0ms	(- (sqrt (sqrt (exp (* 2.0 x)))) (sqrt (sqrt 1.0)))
64.0ms	(- (sqrt (exp x)) (sqrt 1.0))

simplify783.0ms

Counts: 96 → 96

prune700.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize88.0ms

Local error

Found 4 expressions with local error:

4.7b	(- (sqrt (exp x)) (sqrt 1.0))
4.7b	(- (sqrt (exp x)) (sqrt 1.0))
4.7b	(- (sqrt (exp x)) (sqrt 1.0))
4.7b	(- (sqrt (sqrt (exp (* 2.0 x)))) (sqrt (sqrt 1.0)))

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
42×	`sqrt-prod`
22×	`*-un-lft-identity`
21×	`difference-of-squares`
12×	`add-log-exp`
9×	`distribute-lft-out--`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--`

Counts

4 → 78

Calls

4 calls:

18.0ms	(- (sqrt (exp x)) (sqrt 1.0))
30.0ms	(- (sqrt (exp x)) (sqrt 1.0))
16.0ms	(- (sqrt (exp x)) (sqrt 1.0))
53.0ms	(- (sqrt (sqrt (exp (* 2.0 x)))) (sqrt (sqrt 1.0)))

series387.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(- (sqrt (exp x)) (sqrt 1.0))
61.0ms	(- (sqrt (exp x)) (sqrt 1.0))
70.0ms	(- (sqrt (exp x)) (sqrt 1.0))
195.0ms	(- (sqrt (sqrt (exp (* 2.0 x)))) (sqrt (sqrt 1.0)))

simplify2.4s

Counts: 90 → 90

prune689.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.2b

regimes86.0ms

Accuracy

77.7% (0.8b remaining)

Error of 0.9b against oracle of 0.1b and baseline of 3.5b

bsearch75.0ms

Steps

Iters	Range		Point
6	-4.509995249856902e-05	-5.9023817294571485e-06	-1.6498407439469584e-05

simplify884.0ms

end0.0ms

sample8.0s

Algorithm

intervals

Results

5.1s	6588×	body	10240	exit
1.0s	7352×	body	80	valid
1.0s	12585×	body	80	nan
128.0ms	757×	body	160	valid