Details

sample321.0ms

Algorithm

intervals

Results

187.0ms	216×	body	10240	exit
26.0ms	426×	body	80	nan
20.0ms	239×	body	80	valid
3.0ms	17×	body	160	valid

simplify1.3s

Counts: 1 → 1

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.8b

localize70.0ms

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))
4.1b	(- (exp (* 2.0 x)) 1.0)
4.2b	(- (exp x) 1.0)

rewrite219.0ms

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:

33.0ms	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
68.0ms	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
26.0ms	(- (exp (* 2.0 x)) 1.0)
84.0ms	(- (exp x) 1.0)

series315.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
95.0ms	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
58.0ms	(- (exp (* 2.0 x)) 1.0)
29.0ms	(- (exp x) 1.0)

simplify1.5s

Counts: 135 → 135

prune491.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.3b

localize35.0ms

Local error

Found 4 expressions with local error:

0.2b	(sqrt (exp (* 2.0 x)))
0.2b	(sqrt (exp (* 2.0 x)))
4.2b	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
4.2b	(- (exp x) 1.0)

rewrite74.0ms

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)))
37.0ms	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
21.0ms	(- (exp x) 1.0)

series177.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(sqrt (exp (* 2.0 x)))
28.0ms	(sqrt (exp (* 2.0 x)))
70.0ms	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
27.0ms	(- (exp x) 1.0)

simplify1.4s

Counts: 74 → 74

prune382.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize46.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (exp 2.0) (/ x 2))
0.2b	(sqrt (exp (* 2.0 x)))
4.2b	(- (pow (exp 2.0) (/ x 2)) (sqrt 1.0))
4.2b	(- (exp x) 1.0)

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
18×	`*-un-lft-identity`
14×	`add-cube-cbrt`
13×	`pow-unpow`
9×	`times-frac` `add-log-exp`
7×	`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` `exp-to-pow` `pow1/2` `pow-exp` `div-inv`

Counts

4 → 78

Calls

4 calls:

17.0ms	(pow (exp 2.0) (/ x 2))
6.0ms	(sqrt (exp (* 2.0 x)))
49.0ms	(- (pow (exp 2.0) (/ x 2)) (sqrt 1.0))
21.0ms	(- (exp x) 1.0)

series172.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(pow (exp 2.0) (/ x 2))
30.0ms	(sqrt (exp (* 2.0 x)))
93.0ms	(- (pow (exp 2.0) (/ x 2)) (sqrt 1.0))
17.0ms	(- (exp x) 1.0)

simplify1.3s

Counts: 90 → 90

prune535.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (exp 2.0) (/ x 2))
0.1b	(pow (exp 2.0) (/ x 2))
4.2b	(- (exp x) 1.0)
4.2b	(- (pow (exp 2.0) (/ x 2)) (sqrt 1.0))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
26×	`pow-unpow` `*-un-lft-identity`
22×	`add-cube-cbrt`
18×	`times-frac`
8×	`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` `flip3--` `diff-log` `pow-exp` `flip--` `div-inv` `distribute-lft-out--`

Counts

4 → 93

Calls

4 calls:

7.0ms	(pow (exp 2.0) (/ x 2))
11.0ms	(pow (exp 2.0) (/ x 2))
11.0ms	(- (exp x) 1.0)
40.0ms	(- (pow (exp 2.0) (/ x 2)) (sqrt 1.0))

series189.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(pow (exp 2.0) (/ x 2))
47.0ms	(pow (exp 2.0) (/ x 2))
20.0ms	(- (exp x) 1.0)
73.0ms	(- (pow (exp 2.0) (/ x 2)) (sqrt 1.0))

simplify1.3s

Counts: 105 → 105

prune576.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes56.0ms

Accuracy

70.7% (0.8b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 2.9b

bsearch54.0ms

Steps

Iters	Range		Point
7	-2.642883486703115e-14	-4.2086988937926014e-16	-1.2935498289429683e-15

simplify2.5s

end0.0ms

sample7.8s

Algorithm

intervals

Results

4.3s	6664×	body	10240	exit
1.5s	12742×	body	80	nan
1.1s	7396×	body	80	valid
110.0ms	721×	body	160	valid