Details

sample50.0ms

Algorithm

intervals

Results

26.0ms	65×	body	1280	valid
6.0ms	35×	body	640	valid
5.0ms	129×	body	80	valid
2.0ms	19×	body	320	valid
1.0ms	8×	body	160	valid

simplify51.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.1b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (exp (* -2.0 x)))
0.0b	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
2.8b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
13×	`times-frac`
12×	`add-cube-cbrt`
7×	`add-log-exp`
5×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out`
4×	`associate-/r*`
3×	`pow1` `associate-/l*`
2×	`flip3-+` `associate-/r/` `flip-+` `difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `clear-num` `sum-log` `flip--` `div-inv` `distribute-lft-out--`

Counts

3 → 60

Calls

3 calls:

7.0ms	(+ 1.0 (exp (* -2.0 x)))
15.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
77.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series145.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(+ 1.0 (exp (* -2.0 x)))
44.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
84.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify88.0ms

Counts: 69 → 69

prune164.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (exp (* -2.0 x)))
0.0b	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
2.8b	(log (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))
2.8b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite257.0ms

Algorithm

rewrite-expression-head

Rules

29×	`*-un-lft-identity`
25×	`add-sqr-sqrt`
15×	`add-cube-cbrt`
14×	`times-frac`
8×	`add-log-exp`
7×	`log-pow`
6×	`add-exp-log` `exp-prod` `add-cbrt-cube`
5×	`pow1` `log-prod` `distribute-lft-out`
4×	`associate-/r*` `difference-of-squares`
3×	`associate-/l*`
2×	`sub-neg` `flip3-+` `exp-sum` `associate-/r/` `flip-+` `distribute-lft-out--`
1×	`cbrt-undiv` `+-commutative` `log-div` `flip3--` `frac-2neg` `exp-diff` `diff-log` `div-exp` `rem-log-exp` `clear-num` `sum-log` `flip--` `div-inv`

Counts

4 → 81

Calls

4 calls:

7.0ms	(+ 1.0 (exp (* -2.0 x)))
15.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
156.0ms	(log (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))
75.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series230.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(+ 1.0 (exp (* -2.0 x)))
41.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
84.0ms	(log (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))
86.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify92.0ms

Counts: 93 → 93

prune225.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

2.8b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
2.8b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
2.9b	(log (sqrt (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0))))
2.9b	(log (sqrt (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0))))

rewrite470.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
18×	`*-un-lft-identity` `log-pow`
16×	`log-prod`
14×	`sqrt-pow1`
12×	`exp-prod`
10×	`add-cube-cbrt` `sqrt-prod`
8×	`pow1` `add-log-exp` `difference-of-squares`
6×	`add-exp-log`
4×	`sub-neg` `times-frac` `exp-sum` `add-cbrt-cube` `distribute-lft-out--`
2×	`log-div` `flip3--` `pow1/2` `exp-diff` `sqrt-div` `diff-log` `rem-log-exp` `flip--`

Counts

4 → 82

Calls

4 calls:

73.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
71.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
160.0ms	(log (sqrt (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0))))
162.0ms	(log (sqrt (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0))))

series927.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
88.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
379.0ms	(log (sqrt (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0))))
374.0ms	(log (sqrt (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0))))

simplify43.0ms

Counts: 94 → 94

prune311.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 1.0 x) (+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3))))
0.1b	(* 0.33333333333333337 (pow x 3))
0.9b	(* 5.551115123125783e-17 (pow x 4))
6.6b	(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`associate-r`
14×	`add-exp-log`
11×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
8×	`unpow-prod-down` `add-cbrt-cube`
7×	`unswap-sqr`
6×	`associate-l` `prod-exp`
4×	`pow1` `cube-prod` `sqr-pow`
2×	`pow-to-exp` `diff-log` `pow-exp` `sum-log` `*-commutative` `cbrt-unprod`
1×	`+-commutative` `cube-mult` `sub-neg` `flip3--` `flip3-+` `unpow3` `flip--` `flip-+` `associate--r+`

Counts

4 → 81

Calls

4 calls:

17.0ms	(- (* 1.0 x) (+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3))))
14.0ms	(* 0.33333333333333337 (pow x 3))
18.0ms	(* 5.551115123125783e-17 (pow x 4))
11.0ms	(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

series261.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(- (* 1.0 x) (+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3))))
39.0ms	(* 0.33333333333333337 (pow x 3))
39.0ms	(* 5.551115123125783e-17 (pow x 4))
122.0ms	(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

simplify49.0ms

Counts: 93 → 93

prune202.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes322.0ms

Accuracy

99.7% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 29.1b

bsearch2.0ms

simplify1.0ms

end0.0ms

sample1.6s

Algorithm

intervals

Results

540.0ms	1704×	body	1280	valid
515.0ms	4131×	body	80	valid
239.0ms	1205×	body	640	valid
77.0ms	650×	body	320	valid
24.0ms	310×	body	160	valid