Details

sample33.0ms

Algorithm

intervals

Results

13.0ms	87×	body	1280	valid
4.0ms	39×	body	640	valid
4.0ms	184×	body	80	valid
2.0ms	27×	body	320	valid
1.0ms	12×	body	160	valid

simplify393.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.8b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(exp (* a x))
3.3b	(- (exp (* a x)) 1.0)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
4×	`add-sqr-sqrt` `*-un-lft-identity`
2×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
1×	`sub-neg` `exp-prod` `flip3--` `exp-to-pow` `diff-log` `flip--` `rem-exp-log` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 24

Calls

2 calls:

4.0ms	(exp (* a x))
11.0ms	(- (exp (* a x)) 1.0)

series57.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(exp (* a x))
44.0ms	(- (exp (* a x)) 1.0)

simplify543.0ms

Counts: 30 → 30

prune326.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 8.9b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp (* a x)) 1.0)
0.0b	(/ (- (pow (exp (* a x)) 3) (pow 1.0 3)) (+ (* (exp (* a x)) (+ (exp (* a x)) 1.0)) (* 1.0 1.0)))
0.0b	(pow (exp (* a x)) 3)
3.2b	(- (pow (exp (* a x)) 3) (pow 1.0 3))

rewrite159.0ms

Algorithm

rewrite-expression-head

Rules

157×	`add-sqr-sqrt`
89×	`*-un-lft-identity`
80×	`difference-of-squares`
75×	`times-frac`
63×	`unpow-prod-down` `cube-prod`
41×	`sqr-pow`
37×	`add-cube-cbrt`
25×	`associate-/l*` `distribute-lft-out--`
9×	`add-log-exp`
7×	`add-cbrt-cube`
6×	`add-exp-log`
5×	`pow1` `difference-cubes`
3×	`pow-unpow` `pow-pow` `associate-/r*`
2×	`flip3--` `flip3-+` `associate-/r/` `flip--` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `cube-mult` `pow-to-exp` `sub-neg` `exp-prod` `exp-to-pow` `frac-2neg` `diff-log` `unpow3` `div-sub` `div-exp` `pow-exp` `clear-num` `sum-log` `div-inv` `distribute-lft-out` `rem-cube-cbrt`

Counts

4 → 191

Calls

4 calls:

9.0ms	(+ (exp (* a x)) 1.0)
99.0ms	(/ (- (pow (exp (* a x)) 3) (pow 1.0 3)) (+ (* (exp (* a x)) (+ (exp (* a x)) 1.0)) (* 1.0 1.0)))
6.0ms	(pow (exp (* a x)) 3)
36.0ms	(- (pow (exp (* a x)) 3) (pow 1.0 3))

series214.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(+ (exp (* a x)) 1.0)
118.0ms	(/ (- (pow (exp (* a x)) 3) (pow 1.0 3)) (+ (* (exp (* a x)) (+ (exp (* a x)) 1.0)) (* 1.0 1.0)))
25.0ms	(pow (exp (* a x)) 3)
55.0ms	(- (pow (exp (* a x)) 3) (pow 1.0 3))

simplify960.0ms

Counts: 203 → 203

prune453.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 8.8b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- (exp (* (* a x) 3)) (pow 1.0 3)) (+ (* (exp (* a x)) (+ (exp (* a x)) 1.0)) (* 1.0 1.0)))
0.0b	(exp (* (* a x) 3))
0.3b	(* (* a x) 3)
3.2b	(- (exp (* (* a x) 3)) (pow 1.0 3))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

56×	`add-sqr-sqrt`
33×	`times-frac`
31×	`*-un-lft-identity`
21×	`add-cube-cbrt`
20×	`difference-of-squares`
15×	`difference-cubes`
13×	`add-log-exp`
11×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
9×	`pow1`
6×	`exp-lft-cube` `exp-prod` `exp-to-pow`
5×	`unpow-prod-down` `cube-prod` `distribute-lft-out--` `sqr-pow`
3×	`associate-r` `pow-prod-down` `prod-exp` `associate-/r*` `cbrt-unprod`
2×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-sub` `div-exp` `associate-l` `clear-num` `*-commutative` `flip-+` `div-inv` `rem-exp-log`

Counts

4 → 113

Calls

4 calls:

62.0ms	(/ (- (exp (* (* a x) 3)) (pow 1.0 3)) (+ (* (exp (* a x)) (+ (exp (* a x)) 1.0)) (* 1.0 1.0)))
12.0ms	(exp (* (* a x) 3))
16.0ms	(* (* a x) 3)
16.0ms	(- (exp (* (* a x) 3)) (pow 1.0 3))

series186.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(/ (- (exp (* (* a x) 3)) (pow 1.0 3)) (+ (* (exp (* a x)) (+ (exp (* a x)) 1.0)) (* 1.0 1.0)))
18.0ms	(exp (* (* a x) 3))
22.0ms	(* (* a x) 3)
43.0ms	(- (exp (* (* a x) 3)) (pow 1.0 3))

simplify736.0ms

Counts: 125 → 125

prune312.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 8.8b

localize39.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* a x) 3)
3.2b	(- (exp (* (* a x) 3)) (pow 1.0 3))
3.2b	(- (exp (* (* a x) 3)) (pow 1.0 3))
3.2b	(- (exp (* (* a x) 3)) (pow 1.0 3))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
13×	`add-log-exp`
12×	`difference-of-squares`
11×	`*-un-lft-identity`
9×	`pow1` `difference-cubes` `add-exp-log` `add-cbrt-cube`
5×	`add-cube-cbrt`
3×	`sub-neg` `unpow-prod-down` `exp-lft-cube` `exp-prod` `flip3--` `exp-to-pow` `diff-log` `cube-prod` `associate-r` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod` `distribute-lft-out--` `sqr-pow`
1×	`associate-l` `*-commutative`

Counts

4 → 78

Calls

4 calls:

18.0ms	(* (* a x) 3)
16.0ms	(- (exp (* (* a x) 3)) (pow 1.0 3))
16.0ms	(- (exp (* (* a x) 3)) (pow 1.0 3))
16.0ms	(- (exp (* (* a x) 3)) (pow 1.0 3))

series152.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (* a x) 3)
42.0ms	(- (exp (* (* a x) 3)) (pow 1.0 3))
45.0ms	(- (exp (* (* a x) 3)) (pow 1.0 3))
43.0ms	(- (exp (* (* a x) 3)) (pow 1.0 3))

simplify439.0ms

Counts: 90 → 90

prune321.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 8.8b

regimes253.0ms

Accuracy

96.6% (0.7b remaining)

Error of 8.8b against oracle of 8.1b and baseline of 29.1b

bsearch1.0ms

simplify514.0ms

end0.0ms

sample1.2s

Algorithm

intervals

Results

515.0ms	2645×	body	1280	valid
188.0ms	1326×	body	640	valid
141.0ms	5495×	body	80	valid
76.0ms	780×	body	320	valid
19.0ms	397×	body	160	valid