Details

sample175.0ms

Algorithm

intervals

Results

48.0ms	388×	body	80	nan
45.0ms	175×	body	10240	exit
12.0ms	244×	body	80	valid
2.0ms	16×	body	160	valid

simplify3.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	10	12
1	19	12
2	28	12
3	40	12
4	74	12
5	175	12
6	479	12
7	1665	12
done	5000	12

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.4b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
0.5b	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
3.0b	(- (exp (* 2.0 x)) 1.0)
3.1b	(- (exp x) 1.0)

rewrite146.0ms

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:

51.0ms	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
56.0ms	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
13.0ms	(- (exp (* 2.0 x)) 1.0)
13.0ms	(- (exp x) 1.0)

series349.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
105.0ms	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
43.0ms	(- (exp (* 2.0 x)) 1.0)
43.0ms	(- (exp x) 1.0)

simplify1.9s

Counts

135 → 135

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	189	2376
1	388	2279
2	904	2169
3	2293	2156
done	5001	2154

prune441.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.5b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b	(sqrt (* (/ (- (exp (* 2.0 x)) 1.0) (- (exp (+ x x)) (* 1.0 1.0))) (+ (exp x) 1.0)))
0.5b	(/ (- (exp (* 2.0 x)) 1.0) (- (exp (+ x x)) (* 1.0 1.0)))
3.0b	(- (exp (* 2.0 x)) 1.0)
3.0b	(- (exp (+ x x)) (* 1.0 1.0))

rewrite300.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

52.0ms	(sqrt (* (/ (- (exp (* 2.0 x)) 1.0) (- (exp (+ x x)) (* 1.0 1.0))) (+ (exp x) 1.0)))
127.0ms	(/ (- (exp (* 2.0 x)) 1.0) (- (exp (+ x x)) (* 1.0 1.0)))
13.0ms	(- (exp (* 2.0 x)) 1.0)
105.0ms	(- (exp (+ x x)) (* 1.0 1.0))

series472.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(sqrt (* (/ (- (exp (* 2.0 x)) 1.0) (- (exp (+ x x)) (* 1.0 1.0))) (+ (exp x) 1.0)))
237.0ms	(/ (- (exp (* 2.0 x)) 1.0) (- (exp (+ x x)) (* 1.0 1.0)))
26.0ms	(- (exp (* 2.0 x)) 1.0)
26.0ms	(- (exp (+ x x)) (* 1.0 1.0))

simplify1.1s

Counts

108 → 108

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	196	2198
1	477	2130
2	1422	1971
done	5000	1866

prune536.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp x) 1.0)
0.2b	(sqrt (* 1.0 (+ (exp x) 1.0)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

5×	`pow1`
4×	`*-un-lft-identity` `add-log-exp`
2×	`add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sqrt-pow1` `flip3-+` `sqrt-div` `associate-*r/` `add-cbrt-cube` `flip-+`
1×	`+-commutative` `pow1/2` `pow-prod-down` `sum-log` `sqrt-prod` `distribute-lft-out`

Counts

2 → 25

Calls

2 calls:

22.0ms	(+ (exp x) 1.0)
19.0ms	(sqrt (* 1.0 (+ (exp x) 1.0)))

series93.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(+ (exp x) 1.0)
79.0ms	(sqrt (* 1.0 (+ (exp x) 1.0)))

simplify2.8s

Counts

31 → 31

Iterations

Useful iterations: 4 (1.5s)

Iter	Nodes	Cost
0	67	305
1	160	283
2	410	270
3	1148	260
4	4041	257
done	5000	257

prune95.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (exp (+ x x)) (* 1.0 (- 1.0 (exp x))))
0.2b	(sqrt (* 1.0 (/ (+ (pow (exp x) 3) (pow 1.0 3)) (+ (exp (+ x x)) (* 1.0 (- 1.0 (exp x)))))))
0.4b	(/ (+ (pow (exp x) 3) (pow 1.0 3)) (+ (exp (+ x x)) (* 1.0 (- 1.0 (exp x)))))
3.1b	(- 1.0 (exp x))

rewrite367.0ms

Algorithm

rewrite-expression-head

Rules

60×	`*-un-lft-identity`
27×	`times-frac`
20×	`add-sqr-sqrt` `distribute-lft-out`
18×	`add-cube-cbrt`
16×	`unpow-prod-down` `cube-prod`
9×	`associate-/l*`
8×	`add-log-exp`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube`
4×	`associate-+r+` `sum-cubes`
3×	`sub-neg` `flip3-+` `associate-/r*` `flip-+`
2×	`distribute-rgt-in` `distribute-lft-in` `sqrt-pow1` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `flip3--` `frac-2neg` `pow1/2` `sqrt-div` `diff-log` `associate-*r/` `div-exp` `pow-prod-down` `clear-num` `sum-log` `sqrt-prod` `flip--` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 96

Calls

4 calls:

82.0ms	(+ (exp (+ x x)) (* 1.0 (- 1.0 (exp x))))
85.0ms	(sqrt (* 1.0 (/ (+ (pow (exp x) 3) (pow 1.0 3)) (+ (exp (+ x x)) (* 1.0 (- 1.0 (exp x)))))))
185.0ms	(/ (+ (pow (exp x) 3) (pow 1.0 3)) (+ (exp (+ x x)) (* 1.0 (- 1.0 (exp x)))))
7.0ms	(- 1.0 (exp x))

series401.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(+ (exp (+ x x)) (* 1.0 (- 1.0 (exp x))))
205.0ms	(sqrt (* 1.0 (/ (+ (pow (exp x) 3) (pow 1.0 3)) (+ (exp (+ x x)) (* 1.0 (- 1.0 (exp x)))))))
128.0ms	(/ (+ (pow (exp x) 3) (pow 1.0 3)) (+ (exp (+ x x)) (* 1.0 (- 1.0 (exp x)))))
25.0ms	(- 1.0 (exp x))

simplify1.2s

Counts

108 → 108

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	178	2635
1	409	2527
2	1354	2379
done	5000	2352

prune436.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

regimes18.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	8	7
done	8	7

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.9s	6666×	body	10240	exit
599.0ms	12737×	body	80	nan
362.0ms	7414×	body	80	valid
83.0ms	728×	body	160	valid