Details

sample41.0ms

Algorithm

intervals

Results

17.0ms	113×	body	1280	valid
7.0ms	82×	body	640	valid
4.0ms	366×	pre	80	true
2.0ms	43×	body	320	valid
2.0ms	117×	body	80	valid
0.0ms	11×	body	160	valid

simplify3.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	4	4
1	6	4
2	7	4
done	7	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.5b

localize4.0ms

Local error

Found 1 expressions with local error:

3.2b	(- (exp x) 1.0)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`prod-diff`
8×	`add-cube-cbrt`
3×	`fma-neg` `add-log-exp`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 28

Calls

1 calls:

5.0ms

(- (exp x) 1.0)

series15.0ms

Counts

1 → 3

Calls

1 calls:

14.0ms

(- (exp x) 1.0)

simplify2.0s

Counts

31 → 31

Iterations

Useful iterations: 4 (802.0ms)

Iter	Nodes	Cost
0	66	376
1	138	288
2	288	231
3	863	204
4	2836	175
done	5000	175

prune60.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma (pow x 2) (fma 1/6 x 1/2) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma (pow x 2) (fma 1/6 x 1/2) x)

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(fma (pow x 2) (fma 1/6 x 1/2) x)

simplify958.0ms

Counts

13 → 13

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	25	167
1	50	161
2	125	137
3	345	137
4	1511	137
done	5000	137

prune39.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- (exp (+ x x)) (* 1.0 1.0)) (+ 1.0 (exp x)))
0.0b	(+ 1.0 (exp x))
3.2b	(- (exp (+ x x)) (* 1.0 1.0))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 89

Calls

3 calls:

63.0ms	(/ (- (exp (+ x x)) (* 1.0 1.0)) (+ 1.0 (exp x)))
3.0ms	(+ 1.0 (exp x))
33.0ms	(- (exp (+ x x)) (* 1.0 1.0))

series66.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(/ (- (exp (+ x x)) (* 1.0 1.0)) (+ 1.0 (exp x)))
8.0ms	(+ 1.0 (exp x))
19.0ms	(- (exp (+ x x)) (* 1.0 1.0))

simplify1.6s

Counts

98 → 98

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	147	1493
1	353	1441
2	957	1308
3	3193	1293
done	5000	1289

prune219.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp 2) x)
0.0b	(fma 1.0 1.0 (pow (exp 2) x))
0.0b	(/ (- (exp (* x 4)) (pow 1.0 4)) (fma 1.0 1.0 (pow (exp 2) x)))
3.0b	(- (exp (* x 4)) (pow 1.0 4))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt`
44×	`*-un-lft-identity`
33×	`add-cube-cbrt`
21×	`times-frac` `prod-diff`
18×	`unpow-prod-down`
15×	`difference-of-squares`
9×	`sqr-pow`
7×	`associate-/l*`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`pow1` `distribute-lft-out--`
4×	`expm1-log1p-u` `pow-pow` `log1p-expm1-u`
3×	`pow-unpow` `exp-prod` `fma-neg` `associate-/r*`
2×	`flip3--` `flip--` `associate-/l/`
1×	`cbrt-undiv` `pow-to-exp` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `pow-exp` `clear-num` `fma-udef` `div-inv` `exp-lft-sqr`

Counts

4 → 123

Calls

4 calls:

2.0ms	(pow (exp 2) x)
0.0ms	(fma 1.0 1.0 (pow (exp 2) x))
20.0ms	(/ (- (exp (* x 4)) (pow 1.0 4)) (fma 1.0 1.0 (pow (exp 2) x)))
7.0ms	(- (exp (* x 4)) (pow 1.0 4))

series150.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(pow (exp 2) x)
34.0ms	(fma 1.0 1.0 (pow (exp 2) x))
70.0ms	(/ (- (exp (* x 4)) (pow 1.0 4)) (fma 1.0 1.0 (pow (exp 2) x)))
19.0ms	(- (exp (* x 4)) (pow 1.0 4))

simplify632.0ms

Counts

135 → 135

Iterations

Useful iterations: done (624.0ms)

Iter	Nodes	Cost
0	235	2837
1	494	2484
2	1260	2215
done	5000	2212

prune406.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

regimes25.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
done	7	9

end0.0ms

sample1.2s

Algorithm

intervals

Results

525.0ms	3437×	body	1280	valid
239.0ms	2504×	body	640	valid
108.0ms	11940×	pre	80	true
74.0ms	1233×	body	320	valid
59.0ms	4129×	body	80	valid
23.0ms	637×	body	160	valid