Details

sample327.0ms

Algorithm

intervals

Results

175.0ms	224×	body	10240	exit
26.0ms	353×	body	80	nan
17.0ms	230×	body	80	valid
5.0ms	32×	body	160	valid

simplify116.0ms

Counts: 1 → 1

prune37.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.0b

localize23.0ms

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))
6.9b	(- (exp (* 2.0 x)) 1.0)
7.1b	(- (exp x) 1.0)

rewrite287.0ms

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:

38.0ms	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
92.0ms	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
25.0ms	(- (exp (* 2.0 x)) 1.0)
120.0ms	(- (exp x) 1.0)

series294.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
93.0ms	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
43.0ms	(- (exp (* 2.0 x)) 1.0)
32.0ms	(- (exp x) 1.0)

simplify85.0ms

Counts: 135 → 135

prune581.0ms

Pruning

3 alts after pruning (3 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))) (sqrt 1.0))
7.1b	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
7.1b	(- (exp x) 1.0)

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
11×	`sqrt-prod` `add-log-exp`
5×	`pow1` `add-cube-cbrt` `difference-of-squares`
4×	`add-exp-log` `add-cbrt-cube`
3×	`sqrt-pow1` `distribute-lft-out--`
2×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out`
1×	`+-commutative` `rem-sqrt-square` `exp-prod` `exp-to-pow` `flip3-+` `pow1/2` `sum-log` `flip-+`

Counts

4 → 60

Calls

4 calls:

15.0ms	(sqrt (exp (* 2.0 x)))
34.0ms	(+ (sqrt (exp (* 2.0 x))) (sqrt 1.0))
39.0ms	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
19.0ms	(- (exp x) 1.0)

series162.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(sqrt (exp (* 2.0 x)))
58.0ms	(+ (sqrt (exp (* 2.0 x))) (sqrt 1.0))
56.0ms	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
17.0ms	(- (exp x) 1.0)

simplify64.0ms

Counts: 72 → 72

prune307.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (+ (sqrt (exp (* 2.0 x))) (sqrt 1.0)) 3)
0.3b	(cbrt (pow (+ (sqrt (exp (* 2.0 x))) (sqrt 1.0)) 3))
7.1b	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
7.1b	(- (exp x) 1.0)

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

32×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
16×	`cbrt-prod`
14×	`sqrt-prod`
10×	`add-cube-cbrt` `unpow-prod-down` `cube-prod`
8×	`distribute-lft-out` `add-log-exp`
5×	`pow1` `add-exp-log` `add-cbrt-cube` `difference-of-squares`
4×	`cube-div`
3×	`pow-unpow` `distribute-lft-out--`
2×	`cube-mult` `sub-neg` `cbrt-div` `flip3--` `flip3-+` `diff-log` `unpow3` `flip--` `flip-+` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 88

Calls

4 calls:

25.0ms	(pow (+ (sqrt (exp (* 2.0 x))) (sqrt 1.0)) 3)
23.0ms	(cbrt (pow (+ (sqrt (exp (* 2.0 x))) (sqrt 1.0)) 3))
24.0ms	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
11.0ms	(- (exp x) 1.0)

series301.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(pow (+ (sqrt (exp (* 2.0 x))) (sqrt 1.0)) 3)
56.0ms	(cbrt (pow (+ (sqrt (exp (* 2.0 x))) (sqrt 1.0)) 3))
57.0ms	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
19.0ms	(- (exp x) 1.0)

simplify48.0ms

Counts: 100 → 100

prune470.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (- (exp x) 1.0) 3)
0.4b	(cbrt (pow (- (exp x) 1.0) 3))
7.1b	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
7.1b	(- (exp x) 1.0)

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
16×	`cbrt-prod`
10×	`add-cube-cbrt` `unpow-prod-down` `cube-prod`
9×	`difference-of-squares`
8×	`add-log-exp`
7×	`distribute-lft-out--`
6×	`sqrt-prod`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`cube-div` `flip3--` `flip--`
3×	`pow-unpow`
2×	`cube-mult` `sub-neg` `cbrt-div` `diff-log` `unpow3` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 88

Calls

4 calls:

31.0ms	(pow (- (exp x) 1.0) 3)
27.0ms	(cbrt (pow (- (exp x) 1.0) 3))
36.0ms	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
11.0ms	(- (exp x) 1.0)

series177.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(pow (- (exp x) 1.0) 3)
16.0ms	(cbrt (pow (- (exp x) 1.0) 3))
69.0ms	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
31.0ms	(- (exp x) 1.0)

simplify49.0ms

Counts: 100 → 100

prune443.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes39.0ms

Accuracy

81.2% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 3.8b

bsearch85.0ms

Steps

Iters	Range		Point
7	-6.966399513907256e-05	-2.622143780401686e-06	-1.5260642170642034e-05

simplify110.0ms

end0.0ms

sample8.0s

Algorithm

intervals

Results

5.1s	6510×	body	10240	exit
1.2s	12470×	body	80	nan
792.0ms	7358×	body	80	valid
156.0ms	772×	body	160	valid