Details

sample170.0ms

Algorithm

intervals

Results

110.0ms	180×	body	1280	valid
17.0ms	44×	body	640	valid
13.0ms	233×	body	80	valid
4.0ms	17×	body	320	valid
2.0ms	12×	body	160	valid

simplify2.8s

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	56	8
5	62	8
6	71	8
7	88	8
8	248	8
9	788	8
10	3132	8
done	5000	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.8b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp x) 2.0)
3.6b	(+ (- (exp x) 2.0) (exp (- x)))

rewrite118.0ms

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:

24.0ms	(- (exp x) 2.0)
89.0ms	(+ (- (exp x) 2.0) (exp (- x)))

series125.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(- (exp x) 2.0)
108.0ms	(+ (- (exp x) 2.0) (exp (- x)))

simplify1.0s

Counts

71 → 71

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	124	914
1	298	735
2	1173	637
done	5002	609

prune262.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

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))

rewrite14.0ms

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:

0.0ms	(fma 1/360 (pow x 6) (* 1/12 (pow x 4)))
12.0ms	(* 1/12 (pow x 4))

series234.0ms

Counts

2 → 6

Calls

2 calls:

172.0ms	(fma 1/360 (pow x 6) (* 1/12 (pow x 4)))
62.0ms	(* 1/12 (pow x 4))

simplify2.4s

Counts

43 → 43

Iterations

Useful iterations: 3 (552.0ms)

Iter	Nodes	Cost
0	67	403
1	134	371
2	395	345
3	2222	342
done	5000	342

prune184.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (pow (exp x) 3) (pow 2.0 3))
0.0b	(fma (+ 2.0 (exp x)) 2.0 (exp (+ x x)))
0.1b	(pow (exp x) 3)
4.8b	(+ (/ (- (pow (exp x) 3) (pow 2.0 3)) (fma (+ 2.0 (exp x)) 2.0 (exp (+ x x)))) (exp (- x)))

rewrite470.0ms

Algorithm

rewrite-expression-head

Rules

208×	`add-sqr-sqrt`
154×	`*-un-lft-identity`
144×	`prod-diff`
126×	`unpow-prod-down` `cube-prod`
112×	`add-cube-cbrt`
79×	`fma-def`
75×	`times-frac`
64×	`difference-of-squares`
58×	`sqr-pow`
26×	`cube-mult` `unpow3`
20×	`distribute-lft-out--`
12×	`fma-neg`
8×	`add-log-exp`
5×	`pow1` `add-cbrt-cube`
4×	`difference-cubes` `add-exp-log` `expm1-log1p-u` `pow-pow` `log1p-expm1-u`
3×	`pow-unpow` `exp-prod`
2×	`frac-add`
1×	`+-commutative` `neg-sub0` `exp-neg` `pow-to-exp` `associate-+l-` `sub-neg` `flip3--` `flip3-+` `exp-diff` `diff-log` `div-sub` `pow-exp` `sum-log` `flip--` `flip-+` `fma-udef` `div-inv` `distribute-lft-out` `rem-cube-cbrt`

Counts

4 → 326

Calls

4 calls:

54.0ms	(- (pow (exp x) 3) (pow 2.0 3))
0.0ms	(fma (+ 2.0 (exp x)) 2.0 (exp (+ x x)))
6.0ms	(pow (exp x) 3)
372.0ms	(+ (/ (- (pow (exp x) 3) (pow 2.0 3)) (fma (+ 2.0 (exp x)) 2.0 (exp (+ x x)))) (exp (- x)))

series354.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(- (pow (exp x) 3) (pow 2.0 3))
44.0ms	(fma (+ 2.0 (exp x)) 2.0 (exp (+ x x)))
38.0ms	(pow (exp x) 3)
230.0ms	(+ (/ (- (pow (exp x) 3) (pow 2.0 3)) (fma (+ 2.0 (exp x)) 2.0 (exp (+ x x)))) (exp (- x)))

simplify2.6s

Counts

338 → 338

Iterations

Useful iterations: 2 (968.0ms)

Iter	Nodes	Cost
0	302	7352
1	763	4562
2	3411	3498
done	5000	3498

prune888.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (+ 2.0 (exp x)) 2.0 (exp (+ x x)))
0.1b	(pow (exp x) 3)
0.2b	(exp (log (+ (/ (- (pow (exp x) 3) (pow 2.0 3)) (fma (+ 2.0 (exp x)) 2.0 (exp (+ x x)))) (exp (- x)))))
4.8b	(+ (/ (- (pow (exp x) 3) (pow 2.0 3)) (fma (+ 2.0 (exp x)) 2.0 (exp (+ x x)))) (exp (- x)))

rewrite471.0ms

Algorithm

rewrite-expression-head

Rules

111×	`add-sqr-sqrt`
79×	`fma-def`
75×	`times-frac`
73×	`*-un-lft-identity`
48×	`difference-of-squares`
39×	`add-cube-cbrt` `unpow-prod-down` `cube-prod`
25×	`sqr-pow`
15×	`distribute-lft-out--`
7×	`exp-prod`
6×	`pow1` `exp-diff` `add-log-exp`
5×	`add-cbrt-cube`
4×	`add-exp-log` `expm1-log1p-u` `log-div` `log-prod` `pow-pow` `exp-sum` `frac-add` `log1p-expm1-u`
3×	`difference-cubes` `pow-unpow`
2×	`neg-sub0` `exp-neg` `flip3-+` `flip-+` `distribute-lft-out`
1×	`+-commutative` `cube-mult` `pow-to-exp` `associate-+l-` `unpow3` `div-sub` `pow-exp` `sum-log` `log-pow` `fma-udef` `div-inv` `rem-exp-log` `rem-cube-cbrt`

Counts

4 → 156

Calls

4 calls:

1.0ms	(fma (+ 2.0 (exp x)) 2.0 (exp (+ x x)))
9.0ms	(pow (exp x) 3)
172.0ms	(exp (log (+ (/ (- (pow (exp x) 3) (pow 2.0 3)) (fma (+ 2.0 (exp x)) 2.0 (exp (+ x x)))) (exp (- x)))))
276.0ms	(+ (/ (- (pow (exp x) 3) (pow 2.0 3)) (fma (+ 2.0 (exp x)) 2.0 (exp (+ x x)))) (exp (- x)))

series655.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(fma (+ 2.0 (exp x)) 2.0 (exp (+ x x)))
25.0ms	(pow (exp x) 3)
301.0ms	(exp (log (+ (/ (- (pow (exp x) 3) (pow 2.0 3)) (fma (+ 2.0 (exp x)) 2.0 (exp (+ x x)))) (exp (- x)))))
277.0ms	(+ (/ (- (pow (exp x) 3) (pow 2.0 3)) (fma (+ 2.0 (exp x)) 2.0 (exp (+ x x)))) (exp (- x)))

simplify1.3s

Counts

168 → 168

Iterations

Useful iterations: 2 (409.0ms)

Iter	Nodes	Cost
0	168	1984
1	405	1835
2	1725	1644
done	5001	1644

prune838.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

regimes24.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample4.9s

Algorithm

intervals

Results

3.4s	5691×	body	1280	valid
504.0ms	8043×	body	80	valid
422.0ms	1205×	body	640	valid
144.0ms	647×	body	320	valid
31.0ms	309×	body	160	valid