Details

sample140.0ms

Algorithm

intervals

Results

94.0ms	189×	body	1280	valid
12.0ms	266×	body	80	valid
11.0ms	36×	body	640	valid
4.0ms	20×	body	320	valid
1.0ms	7×	body	160	valid

simplify167.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.2b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp x) 2.0)
3.3b	(+ (- (exp x) 2.0) (exp (- x)))

rewrite141.0ms

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:

22.0ms	(- (exp x) 2.0)
116.0ms	(+ (- (exp x) 2.0) (exp (- x)))

series107.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(- (exp x) 2.0)
86.0ms	(+ (- (exp x) 2.0) (exp (- x)))

simplify3.1s

Counts

71 → 71

Iterations

Useful iterations: done (3.1s)

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

prune233.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

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))

rewrite27.0ms

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:

1.0ms	(fma 1/360 (pow x 6) (* 1/12 (pow x 4)))
24.0ms	(* 1/12 (pow x 4))

series271.0ms

Counts

2 → 6

Calls

2 calls:

196.0ms	(fma 1/360 (pow x 6) (* 1/12 (pow x 4)))
75.0ms	(* 1/12 (pow x 4))

simplify2.2s

Counts

43 → 43

Iterations

Useful iterations: 3 (376.0ms)

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

prune170.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (exp x) 2.0) (fma (exp x) (- (exp x) 2.0) 1))
0.0b	(* (+ (exp x) 2.0) (exp x))
0.0b	(- (exp x) 2.0)
2.3b	(fma (exp x) (- (exp x) 2.0) 1)

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`add-cube-cbrt`
9×	`prod-diff`
8×	`pow1` `associate-l` `add-cbrt-cube`
7×	`add-exp-log`
6×	`associate-r` `add-log-exp`
4×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u`
3×	`fma-neg` `fma-udef`
2×	`flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`
1×	`distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `diff-log` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 86

Calls

4 calls:

50.0ms	(* (+ (exp x) 2.0) (fma (exp x) (- (exp x) 2.0) 1))
61.0ms	(* (+ (exp x) 2.0) (exp x))
13.0ms	(- (exp x) 2.0)
0.0ms	(fma (exp x) (- (exp x) 2.0) 1)

series295.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(* (+ (exp x) 2.0) (fma (exp x) (- (exp x) 2.0) 1))
49.0ms	(* (+ (exp x) 2.0) (exp x))
23.0ms	(- (exp x) 2.0)
92.0ms	(fma (exp x) (- (exp x) 2.0) 1)

simplify3.7s

Counts

98 → 98

Iterations

Useful iterations: done (3.7s)

Iter	Nodes	Cost
0	150	1266
1	346	1157
2	1073	994
3	4849	943
done	5000	942

prune330.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cbrt (* (+ (exp x) 2.0) (fma (exp x) (- (exp x) 2.0) 1))) (cbrt (* (+ (exp x) 2.0) (fma (exp x) (- (exp x) 2.0) 1))))
2.3b	(fma (exp x) (- (exp x) 2.0) 1)
2.3b	(fma (exp x) (- (exp x) 2.0) 1)
2.3b	(fma (exp x) (- (exp x) 2.0) 1)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

14×	`associate-*l/`
12×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-exp-log` `flip3-+` `pow1/3` `flip-+`
4×	`cbrt-prod` `expm1-log1p-u` `frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`fma-udef`
2×	`associate-*r/` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 71

Calls

4 calls:

38.0ms	(* (cbrt (* (+ (exp x) 2.0) (fma (exp x) (- (exp x) 2.0) 1))) (cbrt (* (+ (exp x) 2.0) (fma (exp x) (- (exp x) 2.0) 1))))
1.0ms	(fma (exp x) (- (exp x) 2.0) 1)
1.0ms	(fma (exp x) (- (exp x) 2.0) 1)
1.0ms	(fma (exp x) (- (exp x) 2.0) 1)

series552.0ms

Counts

4 → 12

Calls

4 calls:

370.0ms	(* (cbrt (* (+ (exp x) 2.0) (fma (exp x) (- (exp x) 2.0) 1))) (cbrt (* (+ (exp x) 2.0) (fma (exp x) (- (exp x) 2.0) 1))))
71.0ms	(fma (exp x) (- (exp x) 2.0) 1)
53.0ms	(fma (exp x) (- (exp x) 2.0) 1)
58.0ms	(fma (exp x) (- (exp x) 2.0) 1)

simplify2.3s

Counts

83 → 83

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	120	1933
1	263	1757
2	733	1552
3	2829	1359
done	5001	1341

prune398.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes72.0ms

Accuracy

0% (0.4b remaining)

Error of 0.6b against oracle of 0.1b 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

sample4.9s

Algorithm

intervals

Results

3.6s	5704×	body	1280	valid
524.0ms	1228×	body	640	valid
352.0ms	8021×	body	80	valid
105.0ms	606×	body	320	valid
33.0ms	305×	body	160	valid