Details

sample581.0ms

Algorithm

intervals

Results

159.0ms	202×	body	10240	exit
91.0ms	397×	body	80	nan
22.0ms	237×	body	80	valid
3.0ms	23×	body	160	valid

simplify148.0ms

Counts: 1 → 1

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.9b

localize31.0ms

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))
4.2b	(- (exp (* 2.0 x)) 1.0)
4.3b	(- (exp x) 1.0)

rewrite202.0ms

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:

50.0ms	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
90.0ms	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
30.0ms	(- (exp (* 2.0 x)) 1.0)
26.0ms	(- (exp x) 1.0)

series350.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
107.0ms	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
44.0ms	(- (exp (* 2.0 x)) 1.0)
25.0ms	(- (exp x) 1.0)

simplify107.0ms

Counts: 135 → 135

prune532.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp (* 2.0 x)))
0.0b	(sqrt (exp (* 2.0 x)))
4.3b	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
4.3b	(- (exp x) 1.0)

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 62

Calls

4 calls:

6.0ms	(sqrt (exp (* 2.0 x)))
6.0ms	(sqrt (exp (* 2.0 x)))
38.0ms	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
32.0ms	(- (exp x) 1.0)

series190.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(sqrt (exp (* 2.0 x)))
43.0ms	(sqrt (exp (* 2.0 x)))
77.0ms	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
28.0ms	(- (exp x) 1.0)

simplify190.0ms

Counts: 74 → 74

prune385.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp (* 2.0 x)))
0.0b	(sqrt (/ (+ (sqrt (exp (* 2.0 x))) (sqrt 1.0)) (/ (- (exp x) 1.0) (- (pow (exp 2.0) (/ x 2)) (sqrt 1.0)))))
4.3b	(- (pow (exp 2.0) (/ x 2)) (sqrt 1.0))
4.3b	(- (exp x) 1.0)

rewrite288.0ms

Algorithm

rewrite-expression-head

Rules

533×	`times-frac`
520×	`*-un-lft-identity`
511×	`add-sqr-sqrt`
478×	`sqrt-prod`
207×	`difference-of-squares`
142×	`add-cube-cbrt`
112×	`distribute-lft-out`
77×	`distribute-lft-out--`
52×	`unpow-prod-down` `sqr-pow`
11×	`associate-/r/`
9×	`add-log-exp`
7×	`flip3--` `flip--`
6×	`pow1` `div-inv`
4×	`add-exp-log` `rem-sqrt-square` `sqrt-pow1` `add-cbrt-cube`
2×	`sub-neg` `pow1/2` `diff-log`
1×	`exp-prod` `exp-to-pow` `sqrt-div`

Counts

4 → 346

Calls

4 calls:

4.0ms	(sqrt (exp (* 2.0 x)))
163.0ms	(sqrt (/ (+ (sqrt (exp (* 2.0 x))) (sqrt 1.0)) (/ (- (exp x) 1.0) (- (pow (exp 2.0) (/ x 2)) (sqrt 1.0)))))
51.0ms	(- (pow (exp 2.0) (/ x 2)) (sqrt 1.0))
21.0ms	(- (exp x) 1.0)

series682.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(sqrt (exp (* 2.0 x)))
516.0ms	(sqrt (/ (+ (sqrt (exp (* 2.0 x))) (sqrt 1.0)) (/ (- (exp x) 1.0) (- (pow (exp 2.0) (/ x 2)) (sqrt 1.0)))))
88.0ms	(- (pow (exp 2.0) (/ x 2)) (sqrt 1.0))
27.0ms	(- (exp x) 1.0)

simplify154.0ms

Counts: 358 → 358

prune1.4s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (exp (* 2.0 x)))
0.2b	(sqrt (cbrt (exp (* 2.0 x))))
4.3b	(- (pow (exp 2.0) (/ x 2)) (sqrt 1.0))
4.3b	(- (exp x) 1.0)

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 62

Calls

4 calls:

2.0ms	(cbrt (exp (* 2.0 x)))
4.0ms	(sqrt (cbrt (exp (* 2.0 x))))
33.0ms	(- (pow (exp 2.0) (/ x 2)) (sqrt 1.0))
21.0ms	(- (exp x) 1.0)

series436.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(cbrt (exp (* 2.0 x)))
179.0ms	(sqrt (cbrt (exp (* 2.0 x))))
69.0ms	(- (pow (exp 2.0) (/ x 2)) (sqrt 1.0))
17.0ms	(- (exp x) 1.0)

simplify139.0ms

Counts: 74 → 74

prune533.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes41.0ms

Accuracy

75.4% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 2.9b

bsearch90.0ms

Steps

Iters	Range		Point
9	-1.6270816056420486e-11	-5.043946927033037e-17	-6.207265300769889e-12

simplify56.0ms

end0.0ms

sample8.4s

Algorithm

intervals

Results

5.1s	6846×	body	10240	exit
1.7s	12704×	body	80	nan
651.0ms	7425×	body	80	valid
164.0ms	697×	body	160	valid