Details

sample4.8s

Algorithm

intervals

Results

2.7s	218×	body	10240	exit
144.0ms	401×	body	80	nan
48.0ms	240×	body	80	valid
15.0ms	21×	body	160	valid

simplify7.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	10	12
1	19	12
2	28	12
3	40	12
4	74	12
5	179	12
6	752	12
done	5000	12

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.9b

localize560.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
0.3b	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
4.3b	(- (exp (* 2.0 x)) 1.0)
4.4b	(- (exp x) 1.0)

rewrite679.0ms

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:

78.0ms	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
249.0ms	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
61.0ms	(- (exp (* 2.0 x)) 1.0)
163.0ms	(- (exp x) 1.0)

series1.6s

Counts

4 → 12

Calls

4 calls:

648.0ms	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
162.0ms	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
393.0ms	(- (exp (* 2.0 x)) 1.0)
410.0ms	(- (exp x) 1.0)

simplify4.8s

Counts

135 → 135

Iterations

Useful iterations: done (4.2s)

Iter	Nodes	Cost
0	189	2376
1	396	2279
2	1220	2169
done	5000	2156

prune2.8s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.2b

localize196.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) 1.0)
0.2b	(/ (- (exp (* 2.0 x)) 1.0) (- (exp (+ x x)) (* 1.0 1.0)))
4.3b	(- (exp (* 2.0 x)) 1.0)
4.3b	(- (exp (+ x x)) (* 1.0 1.0))

rewrite952.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

52.0ms	(+ (exp x) 1.0)
477.0ms	(/ (- (exp (* 2.0 x)) 1.0) (- (exp (+ x x)) (* 1.0 1.0)))
45.0ms	(- (exp (* 2.0 x)) 1.0)
343.0ms	(- (exp (+ x x)) (* 1.0 1.0))

series1.7s

Counts

4 → 12

Calls

4 calls:

16.0ms	(+ (exp x) 1.0)
1.3s	(/ (- (exp (* 2.0 x)) 1.0) (- (exp (+ x x)) (* 1.0 1.0)))
82.0ms	(- (exp (* 2.0 x)) 1.0)
325.0ms	(- (exp (+ x x)) (* 1.0 1.0))

simplify5.6s

Counts

104 → 104

Iterations

Useful iterations: done (5.5s)

Iter	Nodes	Cost
0	165	1833
1	421	1795
2	1682	1649
done	5001	1647

prune2.7s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 2 expressions with local error:

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

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity`
4×	`add-sqr-sqrt` `sqrt-prod` `add-log-exp`
3×	`pow1` `add-cube-cbrt`
2×	`add-exp-log` `flip3-+` `sqrt-div` `add-cbrt-cube` `flip-+` `distribute-lft-out`
1×	`+-commutative` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `sum-log`

Counts

2 → 28

Calls

2 calls:

22.0ms	(sqrt (+ (exp x) 1.0))
35.0ms	(+ (exp x) 1.0)

series508.0ms

Counts

2 → 6

Calls

2 calls:

472.0ms	(sqrt (+ (exp x) 1.0))
31.0ms	(+ (exp x) 1.0)

simplify7.2s

Counts

34 → 34

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	61	297
1	140	271
2	433	260
3	1762	253
done	5001	253

prune785.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize114.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (* 1.0 (- 1.0 (exp x))) (exp (+ x x)))
0.1b	(pow (exp x) 3)
0.3b	(/ (+ (pow (exp x) 3) (pow 1.0 3)) (+ (* 1.0 (- 1.0 (exp x))) (exp (+ x x))))
4.4b	(- 1.0 (exp x))

rewrite1.6s

Algorithm

rewrite-expression-head

Rules

64×	`*-un-lft-identity`
27×	`times-frac`
24×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
20×	`distribute-lft-out`
19×	`unpow-prod-down` `cube-prod`
9×	`associate-/l*`
8×	`add-log-exp`
7×	`add-cbrt-cube`
6×	`add-exp-log`
5×	`pow1`
4×	`associate-+l+` `pow-pow` `sum-cubes`
3×	`sub-neg` `pow-unpow` `exp-prod` `flip3-+` `associate-/r*` `flip-+`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `cube-mult` `pow-to-exp` `flip3--` `frac-2neg` `diff-log` `unpow3` `div-exp` `pow-exp` `clear-num` `sum-log` `flip--` `div-inv` `distribute-lft-out--` `rem-cube-cbrt` `difference-of-squares` `sqr-pow`

Counts

4 → 110

Calls

4 calls:

422.0ms	(+ (* 1.0 (- 1.0 (exp x))) (exp (+ x x)))
29.0ms	(pow (exp x) 3)
1.1s	(/ (+ (pow (exp x) 3) (pow 1.0 3)) (+ (* 1.0 (- 1.0 (exp x))) (exp (+ x x))))
16.0ms	(- 1.0 (exp x))

series1.1s

Counts

4 → 12

Calls

4 calls:

393.0ms	(+ (* 1.0 (- 1.0 (exp x))) (exp (+ x x)))
43.0ms	(pow (exp x) 3)
552.0ms	(/ (+ (pow (exp x) 3) (pow 1.0 3)) (+ (* 1.0 (- 1.0 (exp x))) (exp (+ x x))))
107.0ms	(- 1.0 (exp x))

simplify7.2s

Counts

122 → 122

Iterations

Useful iterations: 2 (2.1s)

Iter	Nodes	Cost
0	183	2458
1	491	2336
2	2100	2203
done	5001	2203

prune2.3s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes210.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify21.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	8
1	9	8
done	9	8

end0.0ms

sample1.1m

Algorithm

intervals

Results

50.4s	6355×	body	10240	exit
11.3s	12439×	body	80	nan
1.8s	7451×	body	80	valid
308.0ms	665×	body	160	valid