Details

sample115.0ms

Algorithm

intervals

Results

75.0ms	181×	body	1280	valid
9.0ms	43×	body	640	valid
9.0ms	251×	body	80	valid
2.0ms	17×	body	320	valid
1.0ms	10×	body	160	valid

simplify2.5s

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

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 29.9b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (exp x) 2.0)
0.0b	(/ -1 (exp x))
3.4b	(- (- (exp x) 2.0) (/ -1 (exp x)))

rewrite115.0ms

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:

11.0ms	(- (exp x) 2.0)
5.0ms	(/ -1 (exp x))
89.0ms	(- (- (exp x) 2.0) (/ -1 (exp x)))

series117.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(- (exp x) 2.0)
14.0ms	(/ -1 (exp x))
84.0ms	(- (- (exp x) 2.0) (/ -1 (exp x)))

simplify1.8s

Counts

169 → 169

Iterations

Iter	Nodes
done	5000
2	2583
1	644
0	262

prune862.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite173.0ms

Algorithm

rewrite-expression-head

Rules

56×	`pow1`
28×	`add-cbrt-cube` `add-exp-log`
15×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`pow-plus` `pow-prod-up`
11×	`add-sqr-sqrt`
10×	`associate-r`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-l`
4×	`pow2` `expm1-log1p-u` `pow-sqr` `*-commutative` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`
2×	`pow3`

Counts

4 → 104

Calls

4 calls:

79.0ms	(* (* (* x x) x) 1/360)
37.0ms	(* (* x x) x)
28.0ms	(* (* x x) x)
22.0ms	(* 1/12 (* x x))

series211.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (* (* x x) x) 1/360)
53.0ms	(* (* x x) x)
65.0ms	(* (* x x) x)
45.0ms	(* 1/12 (* x x))

simplify2.1s

Counts

116 → 116

Iterations

Iter	Nodes
done	5002
2	1911
1	240
0	89

prune442.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* x x) x)
0.1b	(* (* x x) x)
0.2b	(* 1/12 (* x x))
3.3b	(log (exp (* 1/12 (* x x))))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

48×	`pow1`
19×	`add-cbrt-cube` `add-exp-log`
12×	`pow-plus` `pow-prod-up`
11×	`add-sqr-sqrt`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`associate-r`
5×	`associate-l` `add-log-exp`
4×	`pow2` `expm1-log1p-u` `pow-sqr` `log1p-expm1-u`
3×	`log-prod` `log-pow` `*-commutative` `unswap-sqr`
2×	`pow3`
1×	`exp-prod` `exp-to-pow` `rem-log-exp`

Counts

4 → 97

Calls

4 calls:

30.0ms	(* (* x x) x)
20.0ms	(* (* x x) x)
13.0ms	(* 1/12 (* x x))
3.0ms	(log (exp (* 1/12 (* x x))))

series167.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (* x x) x)
42.0ms	(* (* x x) x)
48.0ms	(* 1/12 (* x x))
31.0ms	(log (exp (* 1/12 (* x x))))

simplify1.7s

Counts

109 → 109

Iterations

Iter	Nodes
done	5001
2	1499
1	199
0	81

prune490.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp x) 2.0)
4.4b	(+ (- (exp x) 2.0) (exp (- x)))

rewrite88.0ms

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×	`neg-sub0` `exp-neg` `expm1-log1p-u` `pow1` `sum-log` `sub-neg` `add-cbrt-cube` `exp-diff` `diff-log` `add-exp-log` `log1p-expm1-u` `distribute-lft-out` `difference-of-squares`
1×	`+-commutative` `flip3-+` `associate-+l-` `flip-+`

Counts

2 → 65

Calls

2 calls:

9.0ms	(- (exp x) 2.0)
77.0ms	(+ (- (exp x) 2.0) (exp (- x)))

series75.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(- (exp x) 2.0)
59.0ms	(+ (- (exp x) 2.0) (exp (- x)))

simplify1.1s

Counts

71 → 71

Iterations

Iter	Nodes
done	5001
2	1176
1	297
0	124

prune298.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes63.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	14
1	14
0	11

end0.0ms

sample4.5s

Algorithm

intervals

Results

2.8s	5650×	body	1280	valid
658.0ms	1220×	body	640	valid
485.0ms	8188×	body	80	valid
196.0ms	636×	body	320	valid
33.0ms	333×	body	160	valid