Details

sample148.0ms

Algorithm

intervals

Results

100.0ms	174×	body	1280	valid
14.0ms	232×	body	80	valid
14.0ms	41×	body	640	valid
5.0ms	23×	body	320	valid
2.0ms	10×	body	160	valid

simplify267.0ms

Counts

1 → 1

Iterations

Iter	Nodes
14	148
13	148
12	145
11	144
10	141
9	128
8	114
7	101
6	88
5	82
4	78
3	69
2	46
1	29
0	7

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 27.5b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp x) 2)
4.1b	(+ (- (exp x) 2) (exp (- x)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity` `add-log-exp`
4×	`add-sqr-sqrt` `frac-add`
3×	`flip3--` `flip--`
2×	`neg-sub0` `exp-neg` `pow1` `associate-+l+` `sum-log` `sub-neg` `add-cbrt-cube` `exp-diff` `diff-log` `add-exp-log` `add-cube-cbrt` `insert-posit16` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `flip3-+` `associate-+l-` `flip-+` `difference-of-squares`

Counts

2 → 37

Calls

2 calls:

8.0ms	(- (exp x) 2)
33.0ms	(+ (- (exp x) 2) (exp (- x)))

series103.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(- (exp x) 2)
89.0ms	(+ (- (exp x) 2) (exp (- x)))

simplify678.0ms

Counts

43 → 43

Iterations

Iter	Nodes
3	2089
2	828
1	371
0	93

prune320.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite585.0ms

Algorithm

rewrite-expression-head

Rules

171×	`pow1`
48×	`pow-prod-up`
44×	`add-cbrt-cube` `add-exp-log`
42×	`pow-prod-down`
30×	`pow-plus`
27×	`prod-exp` `cbrt-unprod`
26×	`pow-sqr`
17×	`pow2`
10×	`add-sqr-sqrt` `associate-r`
7×	`*-un-lft-identity` `add-cube-cbrt`
4×	`associate-l` `*-commutative` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow3`
1×	`swap-sqr`

Counts

4 → 151

Calls

4 calls:

99.0ms	(* (* (* x x) (* x x)) 1/12)
29.0ms	(* (* x x) x)
27.0ms	(* (* x x) x)
425.0ms	(* (* x x) (* x x))

series185.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (* (* x x) (* x x)) 1/12)
49.0ms	(* (* x x) x)
39.0ms	(* (* x x) x)
53.0ms	(* (* x x) (* x x))

simplify1.2s

Counts

163 → 163

Iterations

Iter	Nodes
3	2264
2	993
1	424
0	98

prune1.3s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* x x) x)
0.1b	(* (* x x) x)
0.1b	(* (* x x) (* x x))
1.3b	(log (exp (* (* (* x x) (* x x)) 1/12)))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

154×	`pow1`
48×	`pow-prod-up`
30×	`pow-plus`
29×	`pow-prod-down`
26×	`add-cbrt-cube` `add-exp-log` `pow-sqr`
17×	`pow2`
14×	`prod-exp` `cbrt-unprod`
9×	`add-sqr-sqrt`
7×	`-un-lft-identity` `associate-r*` `add-cube-cbrt`
5×	`add-log-exp`
4×	`insert-posit16`
3×	`log-prod` `associate-l` `log-pow` `*-commutative` `unswap-sqr`
2×	`pow3`
1×	`exp-prod` `exp-to-pow` `swap-sqr` `rem-log-exp`

Counts

4 → 137

Calls

4 calls:

25.0ms	(* (* x x) x)
23.0ms	(* (* x x) x)
25.0ms	(* (* x x) (* x x))
9.0ms	(log (exp (* (* (* x x) (* x x)) 1/12)))

series189.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (* x x) x)
40.0ms	(* (* x x) x)
51.0ms	(* (* x x) (* x x))
48.0ms	(log (exp (* (* (* x x) (* x x)) 1/12)))

simplify1.5s

Counts

149 → 149

Iterations

Iter	Nodes
4	3156
3	1114
2	595
1	309
0	87

prune1.4s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (exp x))
3.4b	(- (+ (/ 1 (exp x)) (exp x)) 2)

rewrite169.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
13×	`add-sqr-sqrt`
11×	`add-cube-cbrt`
9×	`times-frac`
7×	`add-log-exp`
4×	`add-cbrt-cube` `pow-flip`
3×	`pow1` `exp-prod` `associate-/r` `add-exp-log` `associate-/l` `distribute-lft-out--`
2×	`diff-log` `div-exp` `insert-posit16` `div-inv` `distribute-lft-out`
1×	`cbrt-undiv` `rec-exp` `clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3--` `1-exp` `associate--l+` `flip--` `inv-pow` `difference-of-squares`

Counts

2 → 54

Calls

2 calls:

12.0ms	(/ 1 (exp x))
156.0ms	(- (+ (/ 1 (exp x)) (exp x)) 2)

series90.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(/ 1 (exp x))
82.0ms	(- (+ (/ 1 (exp x)) (exp x)) 2)

simplify2.3s

Counts

60 → 60

Iterations

Iter	Nodes
4	6549
3	1869
2	726
1	391
0	103

prune407.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes44.0ms

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
2	16
1	16
0	11

end0.0ms

sample5.2s

Algorithm

intervals

Results

3.8s	5600×	body	1280	valid
593.0ms	7880×	body	80	valid
418.0ms	1272×	body	640	valid
130.0ms	650×	body	320	valid
42.0ms	316×	body	160	valid