Details

sample224.0ms

Algorithm

intervals

Results

106.0ms	262×	body	10240	exit
18.0ms	440×	body	80	nan
10.0ms	237×	body	80	valid
2.0ms	22×	body	160	valid

simplify61.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.7b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
0.3b	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
4.6b	(- (exp (* 2.0 x)) 1.0)
4.8b	(- (exp x) 1.0)

rewrite105.0ms

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:

27.0ms	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
44.0ms	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
13.0ms	(- (exp (* 2.0 x)) 1.0)
14.0ms	(- (exp x) 1.0)

series209.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
58.0ms	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
31.0ms	(- (exp (* 2.0 x)) 1.0)
25.0ms	(- (exp x) 1.0)

simplify118.0ms

Counts: 135 → 135

prune344.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.3b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(sqrt (exp (* 2.0 x)))
0.3b	(sqrt (exp (* 2.0 x)))
4.8b	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
4.8b	(- (exp x) 1.0)

rewrite36.0ms

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:

3.0ms	(sqrt (exp (* 2.0 x)))
3.0ms	(sqrt (exp (* 2.0 x)))
18.0ms	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
10.0ms	(- (exp x) 1.0)

series124.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(sqrt (exp (* 2.0 x)))
24.0ms	(sqrt (exp (* 2.0 x)))
50.0ms	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
22.0ms	(- (exp x) 1.0)

simplify97.0ms

Counts: 74 → 74

prune218.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.3b

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (exp 2.0) (* 1/2 x))
0.3b	(sqrt (exp (* 2.0 x)))
4.8b	(- (pow (exp 2.0) (* 1/2 x)) (sqrt 1.0))
4.8b	(- (exp x) 1.0)

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

10.0ms	(pow (exp 2.0) (* 1/2 x))
3.0ms	(sqrt (exp (* 2.0 x)))
28.0ms	(- (pow (exp 2.0) (* 1/2 x)) (sqrt 1.0))
10.0ms	(- (exp x) 1.0)

series134.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(pow (exp 2.0) (* 1/2 x))
31.0ms	(sqrt (exp (* 2.0 x)))
57.0ms	(- (pow (exp 2.0) (* 1/2 x)) (sqrt 1.0))
16.0ms	(- (exp x) 1.0)

simplify59.0ms

Counts: 78 → 78

prune293.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (exp 2.0) (* 1/2 x))
0.1b	(pow (exp 2.0) (* 1/2 x))
4.8b	(- (pow (exp 2.0) (* 1/2 x)) (sqrt 1.0))
4.8b	(- (exp x) 1.0)

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

5.0ms	(pow (exp 2.0) (* 1/2 x))
5.0ms	(pow (exp 2.0) (* 1/2 x))
34.0ms	(- (pow (exp 2.0) (* 1/2 x)) (sqrt 1.0))
10.0ms	(- (exp x) 1.0)

series136.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(pow (exp 2.0) (* 1/2 x))
30.0ms	(pow (exp 2.0) (* 1/2 x))
61.0ms	(- (pow (exp 2.0) (* 1/2 x)) (sqrt 1.0))
16.0ms	(- (exp x) 1.0)

simplify58.0ms

Counts: 81 → 81

prune270.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes42.0ms

Accuracy

99.4% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 3.1b

bsearch77.0ms

Steps

Iters	Range		Point
4	7.736728092336823e-17	1.1876783479541713e-16	1.1173137460061747e-16
7	-1.1415097222949257e-14	-4.2674702477225e-16	-2.5382524601522396e-15

simplify1.0ms

end0.0ms

sample5.4s

Algorithm

intervals

Results

3.7s	6712×	body	10240	exit
753.0ms	12336×	body	80	nan
378.0ms	7363×	body	80	valid
112.0ms	764×	body	160	valid