Details

sample121.0ms

Algorithm

intervals

Results

75.0ms	216×	body	10240	exit
14.0ms	388×	body	80	nan
9.0ms	230×	body	80	valid
2.0ms	28×	body	160	valid

simplify631.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.9b

localize12.0ms

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))
5.9b	(- (exp (* 2.0 x)) 1.0)
6.1b	(- (exp x) 1.0)

rewrite106.0ms

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:

25.0ms	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
50.0ms	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
11.0ms	(- (exp (* 2.0 x)) 1.0)
11.0ms	(- (exp x) 1.0)

series190.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
58.0ms	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
24.0ms	(- (exp (* 2.0 x)) 1.0)
21.0ms	(- (exp x) 1.0)

simplify1.2s

Counts: 135 → 135

prune303.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp (* 2.0 x)))
0.0b	(sqrt (exp (* 2.0 x)))
6.1b	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
6.1b	(- (exp x) 1.0)

rewrite37.0ms

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)))
21.0ms	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
9.0ms	(- (exp x) 1.0)

series105.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(sqrt (exp (* 2.0 x)))
21.0ms	(sqrt (exp (* 2.0 x)))
48.0ms	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
14.0ms	(- (exp x) 1.0)

simplify1.3s

Counts: 74 → 74

prune218.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp (* 2.0 x)))
0.0b	(* (sqrt (sqrt (exp (* 2.0 x)))) (sqrt (sqrt (exp (* 2.0 x)))))
6.1b	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
6.1b	(- (exp x) 1.0)

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

83×	`sqrt-pow1`
75×	`sqrt-prod`
58×	`add-sqr-sqrt`
28×	`pow1`
23×	`*-un-lft-identity`
21×	`add-log-exp`
17×	`add-cube-cbrt` `pow1/2`
15×	`swap-sqr`
13×	`exp-prod` `exp-to-pow` `pow-prod-up`
9×	`associate-r` `associate-l` `pow-prod-down` `pow-sqr` `unswap-sqr`
6×	`add-exp-log` `add-cbrt-cube`
5×	`difference-of-squares`
3×	`distribute-lft-out--`
2×	`sub-neg` `flip3--` `diff-log` `flip--`
1×	`pow2` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 134

Calls

4 calls:

3.0ms	(sqrt (exp (* 2.0 x)))
32.0ms	(* (sqrt (sqrt (exp (* 2.0 x)))) (sqrt (sqrt (exp (* 2.0 x)))))
16.0ms	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
9.0ms	(- (exp x) 1.0)

series105.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(sqrt (exp (* 2.0 x)))
21.0ms	(* (sqrt (sqrt (exp (* 2.0 x)))) (sqrt (sqrt (exp (* 2.0 x)))))
48.0ms	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
14.0ms	(- (exp x) 1.0)

simplify501.0ms

Counts: 146 → 146

prune311.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ 1.0 (* (/ 1.0 2.0) x)))
25.0b	(sqrt (+ (* x (+ 1.0 (* (/ 1.0 2.0) x))) 2.0))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
5×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-exp-log` `add-cbrt-cube`
3×	`associate-r` `associate-l` `sqrt-prod`
2×	`flip3-+` `sqrt-div` `associate-*r/` `flip-+` `add-log-exp`
1×	`distribute-rgt-in` `rem-sqrt-square` `distribute-lft-in` `sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 37

Calls

2 calls:

14.0ms	(* x (+ 1.0 (* (/ 1.0 2.0) x)))
16.0ms	(sqrt (+ (* x (+ 1.0 (* (/ 1.0 2.0) x))) 2.0))

series141.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(* x (+ 1.0 (* (/ 1.0 2.0) x)))
76.0ms	(sqrt (+ (* x (+ 1.0 (* (/ 1.0 2.0) x))) 2.0))

simplify448.0ms

Counts: 43 → 43

prune77.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes17.0ms

Accuracy

81.3% (0.6b remaining)

Error of 0.8b against oracle of 0.2b and baseline of 3.6b

bsearch44.0ms

Steps

Iters	Range		Point
8	-4.2885552352458544e-05	-1.3814153908541775e-08	-1.639071639972418e-05

simplify3.0s

end0.0ms

sample4.3s

Algorithm

intervals

Results

2.2s	6539×	body	10240	exit
1.2s	12458×	body	80	nan
428.0ms	7400×	body	80	valid
63.0ms	732×	body	160	valid