Details

sample134.0ms

Algorithm

intervals

Results

90.0ms	177×	body	1280	valid
11.0ms	40×	body	640	valid
10.0ms	222×	body	80	valid
4.0ms	24×	body	320	valid
1.0ms	11×	body	160	valid

simplify154.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	14	8
2	26	8
3	40	8
4	49	8
5	54	8
6	63	8
7	80	8
8	95	8
9	103	8
10	111	8
done	111	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.8b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp x) 2.0)
5.1b	(+ (- (exp x) 2.0) (exp (- x)))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

25×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
18×	`prod-diff`
16×	`add-cube-cbrt`
11×	`associate-+l+`
9×	`add-log-exp`
5×	`fma-def`
4×	`frac-add`
3×	`flip3--` `fma-neg` `flip--` `distribute-lft-out--`
2×	`pow1` `add-exp-log` `neg-sub0` `exp-neg` `expm1-log1p-u` `sub-neg` `exp-diff` `diff-log` `sum-log` `add-cbrt-cube` `log1p-expm1-u` `distribute-lft-out` `difference-of-squares`
1×	`+-commutative` `associate-+l-` `flip3-+` `flip-+`

Counts

2 → 65

Calls

2 calls:

17.0ms	(- (exp x) 2.0)
60.0ms	(+ (- (exp x) 2.0) (exp (- x)))

series137.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(- (exp x) 2.0)
115.0ms	(+ (- (exp x) 2.0) (exp (- x)))

simplify2.5s

Counts

71 → 71

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	124	914
1	274	729
2	709	628
3	3051	557
done	5000	554

prune260.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 1/360 (pow x 6) (* 1/12 (pow x 4)))
0.1b	(* 1/12 (pow x 4))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
7×	`add-exp-log` `associate-r`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `add-cbrt-cube`
3×	`associate-l` `prod-exp` `unswap-sqr`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `sqr-pow`
1×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

2 → 37

Calls

2 calls:

7.0ms	(fma 1/360 (pow x 6) (* 1/12 (pow x 4)))
14.0ms	(* 1/12 (pow x 4))

series243.0ms

Counts

2 → 6

Calls

2 calls:

194.0ms	(fma 1/360 (pow x 6) (* 1/12 (pow x 4)))
49.0ms	(* 1/12 (pow x 4))

simplify1.9s

Counts

43 → 43

Iterations

Useful iterations: 3 (308.0ms)

Iter	Nodes	Cost
0	67	403
1	125	371
2	284	345
3	930	342
done	5000	342

prune187.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (exp (+ x x)) (* 2.0 2.0))
0.0b	(/ (- (exp (+ x x)) (* 2.0 2.0)) (+ (exp x) 2.0))
4.4b	(+ (/ (- (exp (+ x x)) (* 2.0 2.0)) (+ (exp x) 2.0)) (exp (- x)))

rewrite671.0ms

Algorithm

rewrite-expression-head

Rules

50×	`*-un-lft-identity`
40×	`times-frac`
36×	`add-sqr-sqrt`
26×	`add-cube-cbrt` `fma-def`
20×	`difference-of-squares`
12×	`exp-sum` `distribute-lft-out`
7×	`add-log-exp`
5×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
4×	`fma-neg` `prod-diff` `associate-/r*` `associate-/r/`
3×	`pow1` `expm1-log1p-u` `flip3-+` `flip-+` `log1p-expm1-u`
2×	`flip3--` `div-sub` `frac-add` `flip--` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `neg-sub0` `exp-neg` `associate-+l-` `sub-neg` `frac-2neg` `exp-diff` `diff-log` `div-exp` `clear-num` `sum-log`

Counts

3 → 115

Calls

3 calls:

62.0ms	(- (exp (+ x x)) (* 2.0 2.0))
152.0ms	(/ (- (exp (+ x x)) (* 2.0 2.0)) (+ (exp x) 2.0))
451.0ms	(+ (/ (- (exp (+ x x)) (* 2.0 2.0)) (+ (exp x) 2.0)) (exp (- x)))

series240.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(- (exp (+ x x)) (* 2.0 2.0))
50.0ms	(/ (- (exp (+ x x)) (* 2.0 2.0)) (+ (exp x) 2.0))
152.0ms	(+ (/ (- (exp (+ x x)) (* 2.0 2.0)) (+ (exp x) 2.0)) (exp (- x)))

simplify2.1s

Counts

124 → 124

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	180	1866
1	444	1780
2	1476	1630
done	5000	1283

prune416.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes26.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	11	13
done	11	13

end0.0ms

sample4.7s

Algorithm

intervals

Results

3.2s	5582×	body	1280	valid
458.0ms	1264×	body	640	valid
423.0ms	8085×	body	80	valid
103.0ms	651×	body	320	valid
33.0ms	324×	body	160	valid