Details

sample76.0ms

Algorithm

intervals

Results

49.0ms	170×	body	1280	valid
6.0ms	292×	body	80	valid
6.0ms	43×	body	640	valid
2.0ms	28×	body	320	valid
0.0ms	7×	body	160	valid

simplify220.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	5
1	26	5
2	41	5
3	55	5
4	67	5
5	104	5
6	161	5
7	344	5
8	1454	5
9	5001	5
done	5001	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.6b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp x) 2.0)
4.6b	(+ (- (exp x) 2.0) (exp (- x)))

rewrite74.0ms

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:

12.0ms	(- (exp x) 2.0)
59.0ms	(+ (- (exp x) 2.0) (exp (- x)))

series71.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(- (exp x) 2.0)
58.0ms	(+ (- (exp x) 2.0) (exp (- x)))

simplify33.0ms

Counts

71 → 71

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	282	506
1	1008	381
2	5001	367
done	5001	367

prune157.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

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

Counts

3 → 47

Calls

3 calls:

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

series222.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(fma x x (fma 1/360 (pow x 6) (* 1/12 (pow x 4))))
125.0ms	(fma 1/360 (pow x 6) (* 1/12 (pow x 4)))
40.0ms	(* 1/12 (pow x 4))

simplify95.0ms

Counts

56 → 56

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	143	265
1	544	240
2	2626	237
3	5001	237
done	5001	237

prune142.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 1/360 (pow x 6) (* 1/12 (pow x 4)))
0.1b	(* 1/12 (pow x 4))
2.7b	(exp (log (fma x x (fma 1/360 (pow x 6) (* 1/12 (pow x 4))))))
30.3b	(log (fma x x (fma 1/360 (pow x 6) (* 1/12 (pow x 4)))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 68

Calls

4 calls:

0.0ms	(fma 1/360 (pow x 6) (* 1/12 (pow x 4)))
12.0ms	(* 1/12 (pow x 4))
3.0ms	(exp (log (fma x x (fma 1/360 (pow x 6) (* 1/12 (pow x 4))))))
1.0ms	(log (fma x x (fma 1/360 (pow x 6) (* 1/12 (pow x 4)))))

series321.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(fma 1/360 (pow x 6) (* 1/12 (pow x 4)))
41.0ms	(* 1/12 (pow x 4))
55.0ms	(exp (log (fma x x (fma 1/360 (pow x 6) (* 1/12 (pow x 4))))))
101.0ms	(log (fma x x (fma 1/360 (pow x 6) (* 1/12 (pow x 4)))))

simplify133.0ms

Counts

80 → 80

Iterations

Useful iterations: 3 (126.0ms)

Iter	Nodes	Cost
0	237	495
1	823	442
2	3640	429
3	5001	428
done	5001	428

prune222.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (exp x))
0.0b	(cbrt (exp x))
0.0b	(cbrt (exp x))
6.8b	(+ (+ (- (* (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x))) 2.0) (fma (- 2.0) 1 2.0)) (exp (- x)))

rewrite787.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
13×	`add-log-exp`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`sum-log`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `fma-def` `frac-add` `add-cbrt-cube` `log1p-expm1-u` `distribute-lft-out`
3×	`flip3-+` `pow1/3` `flip-+`
2×	`neg-sub0` `exp-neg` `associate-+l-` `exp-diff`
1×	`+-commutative` `associate-+l+` `diff-log`

Counts

4 → 66

Calls

4 calls:

2.0ms	(cbrt (exp x))
2.0ms	(cbrt (exp x))
3.0ms	(cbrt (exp x))
777.0ms	(+ (+ (- (* (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x))) 2.0) (fma (- 2.0) 1 2.0)) (exp (- x)))

series337.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(cbrt (exp x))
79.0ms	(cbrt (exp x))
79.0ms	(cbrt (exp x))
105.0ms	(+ (+ (- (* (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x))) 2.0) (fma (- 2.0) 1 2.0)) (exp (- x)))

simplify38.0ms

Counts

78 → 78

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	266	873
1	989	778
2	5001	640
done	5001	640

prune235.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes21.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5
done	11	5

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.6s	5722×	body	1280	valid
182.0ms	1212×	body	640	valid
180.0ms	7995×	body	80	valid
51.0ms	579×	body	320	valid
18.0ms	323×	body	160	valid