Details

sample137.0ms

Algorithm

intervals

Results

16.0ms

342×

body

valid

simplify34.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	33
4	33
3	26
2	16
1	9
0	6

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (* x x) y)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
2×	`add-sqr-sqrt`
1×	`pow1` `sub-neg` `*-un-lft-identity` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `add-cube-cbrt` `flip--` `difference-of-squares`

Counts

1 → 13

Calls

1 calls:

17.0ms

(- (* x x) y)

series54.0ms

Counts

1 → 3

Calls

1 calls:

54.0ms

(- (* x x) y)

simplify1.4s

Counts

16 → 16

Iterations

Iter	Nodes
done	5002
3	1610
2	309
1	87
0	32

prune85.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x x) y)
3.5b	(- (pow x 4) (* y y))
26.7b	(/ (- (pow x 4) (* y y)) (+ (* x x) y))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
18×	`times-frac`
15×	`difference-of-squares`
14×	`*-un-lft-identity` `add-cube-cbrt`
7×	`add-log-exp`
6×	`associate-/l*`
5×	`unpow-prod-down` `add-cbrt-cube` `add-exp-log` `sqr-pow`
3×	`pow1` `associate-/r*`
2×	`flip3-+` `flip3--` `associate-/r/` `flip-+` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `div-inv`

Counts

3 → 70

Calls

3 calls:

17.0ms	(+ (* x x) y)
21.0ms	(- (pow x 4) (* y y))
62.0ms	(/ (- (pow x 4) (* y y)) (+ (* x x) y))

series199.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(+ (* x x) y)
58.0ms	(- (pow x 4) (* y y))
105.0ms	(/ (- (pow x 4) (* y y)) (+ (* x x) y))

simplify1.2s

Counts

79 → 79

Iterations

Iter	Nodes
done	5000
2	2436
1	360
0	128

prune406.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x x) y)
0.0b	(/ (+ (pow (sqrt x) 4) y) (/ (+ (* x x) y) (- (* x x) y)))
0.0b	(/ (+ (* x x) y) (- (* x x) y))
0.3b	(pow (sqrt x) 4)

rewrite160.0ms

Algorithm

rewrite-expression-head

Rules

144×	`times-frac`
113×	`*-un-lft-identity`
95×	`add-sqr-sqrt`
75×	`add-cube-cbrt`
22×	`associate-/r*`
20×	`difference-of-squares`
19×	`distribute-lft-out`
13×	`associate-/r/`
12×	`add-exp-log`
11×	`add-cbrt-cube`
7×	`flip3--` `div-inv` `flip--` `associate-/l*`
6×	`pow1` `unpow-prod-down` `add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow-unpow` `pow-pow` `sqrt-prod`
2×	`clear-num` `frac-2neg` `flip3-+` `flip-+`
1×	`pow-to-exp` `sub-neg` `sqrt-pow1` `pow1/2` `diff-log` `pow-exp` `sqrt-pow2` `sqr-pow`

Counts

4 → 182

Calls

4 calls:

10.0ms	(- (* x x) y)
112.0ms	(/ (+ (pow (sqrt x) 4) y) (/ (+ (* x x) y) (- (* x x) y)))
29.0ms	(/ (+ (* x x) y) (- (* x x) y))
3.0ms	(pow (sqrt x) 4)

series209.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(- (* x x) y)
73.0ms	(/ (+ (pow (sqrt x) 4) y) (/ (+ (* x x) y) (- (* x x) y)))
59.0ms	(/ (+ (* x x) y) (- (* x x) y))
54.0ms	(pow (sqrt x) 4)

simplify495.0ms

Counts

194 → 194

Iterations

Iter	Nodes
done	5000
1	852
0	299

prune1.2s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (sqrt x))
0.3b	(pow (cbrt (sqrt x)) 2)
0.4b	(pow (pow (cbrt (sqrt x)) 2) 4)
0.5b	(pow (cbrt (sqrt x)) 4)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

41×	`unpow-prod-down`
24×	`cbrt-prod`
19×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
12×	`sqrt-prod`
9×	`pow-unpow`
8×	`add-exp-log`
6×	`pow1` `pow-exp`
5×	`pow-pow`
4×	`pow-to-exp` `add-cbrt-cube` `add-log-exp` `sqr-pow`
3×	`pow1/3`
2×	`unpow2`

Counts

4 → 93

Calls

4 calls:

9.0ms	(cbrt (sqrt x))
4.0ms	(pow (cbrt (sqrt x)) 2)
8.0ms	(pow (pow (cbrt (sqrt x)) 2) 4)
4.0ms	(pow (cbrt (sqrt x)) 4)

series1.1s

Counts

4 → 12

Calls

4 calls:

201.0ms	(cbrt (sqrt x))
255.0ms	(pow (cbrt (sqrt x)) 2)
339.0ms	(pow (pow (cbrt (sqrt x)) 2) 4)
299.0ms	(pow (cbrt (sqrt x)) 4)

simplify1.1s

Counts

105 → 105

Iterations

Iter	Nodes
done	5002
2	2317
1	562
0	160

prune618.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes247.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	7
1	7
0	6

end0.0ms

sample833.0ms

Algorithm

intervals

Results

401.0ms

10555×

body

valid