Details

sample139.0ms

Algorithm

intervals

Results

91.0ms	180×	body	1280	valid
12.0ms	277×	body	80	valid
11.0ms	40×	body	640	valid
4.0ms	27×	body	320	valid
1.0ms	9×	body	160	valid

simplify2.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
10	2899
9	809
8	249
7	88
6	71
5	62
4	56
3	40
2	26
1	14
0	7

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ -1 (exp x))
0.0b	(- (exp x) 2.0)
3.0b	(- (- (exp x) 2.0) (/ -1 (exp x)))

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

108×	`add-sqr-sqrt` `*-un-lft-identity`
83×	`prod-diff`
73×	`add-cube-cbrt`
55×	`times-frac`
18×	`distribute-lft-out--`
17×	`difference-of-squares`
11×	`associate--l+`
10×	`add-log-exp`
8×	`fma-neg`
6×	`div-inv`
5×	`add-cbrt-cube`
4×	`diff-log` `add-exp-log`
3×	`expm1-log1p-u` `pow1` `associate-/r` `sub-neg` `flip3--` `log1p-expm1-u` `flip--` `associate-/l`
2×	`frac-sub`
1×	`associate--l-` `cbrt-undiv` `clear-num` `frac-2neg` `div-exp`

Counts

3 → 160

Calls

3 calls:

6.0ms	(/ -1 (exp x))
13.0ms	(- (exp x) 2.0)
123.0ms	(- (- (exp x) 2.0) (/ -1 (exp x)))

series122.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(/ -1 (exp x))
20.0ms	(- (exp x) 2.0)
86.0ms	(- (- (exp x) 2.0) (/ -1 (exp x)))

simplify1.9s

Counts

169 → 169

Iterations

Iter	Nodes
done	5001
2	2591
1	644
0	262

prune721.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 1/360 (* x (* x x)))
0.1b	(* x (* x x))
0.1b	(* x (* x x))
0.2b	(* 1/12 (* x x))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

46×	`pow1`
28×	`add-cbrt-cube` `add-exp-log`
15×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`associate-l`
11×	`add-sqr-sqrt`
10×	`pow-prod-up`
8×	`*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `associate-r` `*-commutative` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`
2×	`pow2` `pow-plus` `cube-unmult` `pow-sqr`

Counts

4 → 96

Calls

4 calls:

46.0ms	(* 1/360 (* x (* x x)))
13.0ms	(* x (* x x))
17.0ms	(* x (* x x))
24.0ms	(* 1/12 (* x x))

series210.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(* 1/360 (* x (* x x)))
62.0ms	(* x (* x x))
40.0ms	(* x (* x x))
39.0ms	(* 1/12 (* x x))

simplify1.2s

Counts

108 → 108

Iterations

Iter	Nodes
done	5000
2	1581
1	247
0	89

prune409.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (* x x))
0.1b	(* x (* x x))
0.2b	(* 1/12 (* x x))
2.7b	(log (exp (* 1/12 (* x x))))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

38×	`pow1`
19×	`add-cbrt-cube` `add-exp-log`
11×	`add-sqr-sqrt`
10×	`pow-prod-up`
9×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`*-un-lft-identity` `add-cube-cbrt`
5×	`add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`log-prod` `associate-r` `log-pow` `*-commutative` `unswap-sqr`
2×	`pow2` `pow-plus` `cube-unmult` `pow-sqr`
1×	`exp-prod` `exp-to-pow` `rem-log-exp`

Counts

4 → 89

Calls

4 calls:

22.0ms	(* x (* x x))
21.0ms	(* x (* x x))
23.0ms	(* 1/12 (* x x))
6.0ms	(log (exp (* 1/12 (* x x))))

series581.0ms

Counts

4 → 12

Calls

4 calls:

410.0ms	(* x (* x x))
63.0ms	(* x (* x x))
48.0ms	(* 1/12 (* x x))
59.0ms	(log (exp (* 1/12 (* x x))))

simplify975.0ms

Counts

101 → 101

Iterations

Iter	Nodes
done	5001
2	1174
1	203
0	82

prune438.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes28.0ms

Accuracy

0% (0.0b remaining)

Error of 0.6b against oracle of 0.5b and baseline of 0.6b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	14
1	14
0	11

end0.0ms

sample5.0s

Algorithm

intervals

Results

3.6s	5679×	body	1280	valid
462.0ms	8042×	body	80	valid
426.0ms	1253×	body	640	valid
106.0ms	630×	body	320	valid
32.0ms	288×	body	160	valid